Yes, belief comes 1st, definitly, and from the Hebrew and Greek and also from the writers explanations many many times.This is not proof, the priorr statements are IMO, but also from common sense,you know people dont run red light because they have faith/belief they could get into an accident, if someone believed a Creator really existed they would seek Him the way He says
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
“faith” is word #H530 Hebrew Word Study (Transliteration-Pronunciation Etymology & Grammar) 1) firmness, fidelity, steadfastness, steadiness
Its common in the original language; shamah is not to simply hear, but to hear and do,
Deuteronomy 18:18-19, “I (YHWH) will raise up for them a Prophet (Yahshua/Jesus) like you from among their brothers, and I will put My words in His mouth, and He will tell them everything I command Him. Whoever will not listen to My words, which He speaks in My Name, I will judge him for it.”
"listen" is word #8085 - שָׁמַע - shama` {shaw-mah'}
Brown-Driver-Briggs (Old Testament Hebrew-English Lexicon)
A primitive root; to hear intelligently (often with implication of attention, obedience, etc.; causatively to tell, etc.)
Hebrew Word Study (Transliteration-Pronunciation Etymology & Grammar) - 1) to hear, listen to, obey