Yes, because faith obeys. Faith in the original language is not just a mental belief;
Habakkuk 2:4, "Behold the proud, his soul is not right in him; but the just will live by faith."
“faith” is word #H530 Hebrew Word Study (Transliteration-Pronunciation Etymology & Grammar) 1) firmness, fidelity, steadfastness, steadiness
“faith” #H530 Brown-Driver-Briggs (Old Testament Hebrew-English Lexicon)
Feminine of H0529; literally firmness; figuratively security; moral fidelity:—faith (-ful, -ly, -ness, [man]), set office, stability, steady, truly, truth, verily.
Strong's (Hebrew & Chaldee Dictionary of the Old Testament) #530. אֱמוּנָה
emunah (53c); from 539; firmness, steadfastness, fidelity
That is why the Greek definition says "not to believe and to bedisobedient.."
Lets look atthe usage of this word in Greek;
◄ 544. ἀπειθέω (apeitheó) ►
Englishman's Concordance
Strong's Greek: 544. ἀπειθέω (apeitheó) — 14 Occurrences
John 3:36 V-PPA-NMS
GRK: ὁ δὲ ἀπειθῶν τῷ υἱῷ
NAS: life; but he who does not obey the Son
KJV: and he that believeth not the Son
INT: he that moreover is not subject to the Son
Acts 14:2 V-APA-NMP
GRK: οἱ δὲ ἀπειθήσαντες Ἰουδαῖοι ἐπήγειραν
NAS: But the Jews who disbelieved stirred
KJV: But the unbelieving Jews stirred up
INT: but [the] unbelieving Jews stirred up
Acts 19:9 V-IIA-3P
GRK: ἐσκληρύνοντο καὶ ἠπείθουν κακολογοῦντες τὴν
NAS: were becoming hardened and disobedient, speaking evil
KJV: and believed not, but spake evil
INT: were hardened and disobeyed speaking evil of the
Romans 2:8 V-PPA-DMP
GRK: ἐριθείας καὶ ἀπειθοῦσι τῇ ἀληθείᾳ
NAS: who are selfishly ambitious and do not obey the truth,
KJV: and do not obey the truth,
INT: self-interest and who disobey the truth
Romans 10:21 V-PPA-AMS
GRK: πρὸς λαὸν ἀπειθοῦντα καὶ ἀντιλέγοντα
NAS: OUT MY HANDS TO A DISOBEDIENT AND OBSTINATE
KJV: unto a disobedient and
INT: to a people disobeying and contradicting
Romans 11:30 V-AIA-2P
GRK: ὑμεῖς ποτὲ ἠπειθήσατε τῷ θεῷ
NAS: as you once were disobedient to God,
KJV: in times past have not believed God,
INT: you once were disobedient to God
Romans 11:31 V-AIA-3P
GRK: οὗτοι νῦν ἠπείθησαν τῷ ὑμετέρῳ
NAS: now have been disobedient, that because of the mercy
KJV: now not believed, that
INT: these now were disobedient the for your
Romans 15:31 V-PPA-GMP
GRK: ἀπὸ τῶν ἀπειθούντων ἐν τῇ
NAS: from those who are disobedient in Judea,
KJV: from them that do not believe in
INT: from those being unbelievers in
Hebrews 3:18 V-APA-DMP
GRK: μὴ τοῖς ἀπειθήσασιν
NAS: but to those who were disobedient?
KJV: rest, but to them that believed not?
INT: not to the [ones] having disobeyed
Hebrews 11:31 V-APA-DMP
GRK: συναπώλετο τοῖς ἀπειθήσασιν δεξαμένη τοὺς
NAS: with those who were disobedient, after she had welcomed
KJV: not with them that believed not, when she had received
INT: did perish with the [ones] having disobeyed having received the
1 Peter 2:8 V-PPA-NMP
GRK: τῷ λόγῳ ἀπειθοῦντες εἰς ὃ
NAS: for they stumble because they are disobedient to the word,
KJV: at the word, being disobedient: whereunto
INT: the word being disobedient to which
1 Peter 3:1 V-PIA-3P
GRK: εἴ τινες ἀπειθοῦσιν τῷ λόγῳ
NAS: any [of them] are disobedient to the word,
KJV: that, if any obey not the word, they
INT: if any are disobedient to the word
1 Peter 3:20 V-APA-DMP
GRK: ἀπειθήσασίν ποτε ὅτε
NAS: who once were disobedient, when
KJV: Which sometime were disobedient, when
INT: having disobeyed sometime when
1 Peter 4:17 V-PPA-GMP
GRK: τέλος τῶν ἀπειθούντων τῷ τοῦ
NAS: for those who do not obey the gospel
KJV: shall the end [be] of them that obey not the gospel
INT: outcome of those disobeying the of the
◄ 544. apeitheó ►
Strong's Concordance
apeitheó: to disobey
Original Word: ἀπειθέω
Part of Speech: Verb
Transliteration: apeitheó
Phonetic Spelling: (ap-i-theh'-o)
Short Definition: I disobey, rebel, am disloyal
Definition: I disobey, rebel, am disloyal, refuse conformity.
G544 ἀπειθέω apeitheo (a-pei-the'-ō) v.
1. to disbelieve (willfully and perversely).
2. (by direct extension) to be willfully disobedient.
[from G545]
KJV: not believe, disobedient, obey not, unbelieving
Root(s): G545
Dodson Greek English Lexicon
G544
ἀπειθέω
Verb
I disobey, rebel, am disloyal
Patchwork Study Bible Dictionary
ἀπειθέω
apeitheö
ap-i-theh'-o
From G545; to disbelieve (wilfully and perversely): - not believe, disobedient, obey not, unbelieving.
LXX related word(s) -snip-
Thayer Definition:
1) not to allow one’s self to be persuaded
1a) to refuse or withhold belief
1b) to refuse belief and obedience
2) not to comply with
Part of Speech: verb
A Related Word by Thayer’s/Strong’s Number: from G545
More in NTW: G6607
Only in the modern mindset is faith and obedience considered two seperate things...
Hebrews 3:3:18-19, “And to whom did He swear that they would not enter into His rest, but to those who did not obey? we see that they were unable to enter in because of unbelief."
James 2:22, "Do you see that the belief was working with his works, and by the works the belief was perfected?"