This is completely false since faith in Christ is essential for anyone to be saved (Acts 16:30,31). If you did not believe on the Lord Jesus Christ and receive Him as Lord and Savior, you did not obey the Gospel. And obedience to the Gospel is something a person must do or not do. So if you have no done this you cannot claim to be saved.
That's what you'd think if you believe salvation dependent upon man, but it isn't - it is completely dependent only upon God.
Faith is a gift that comes as a result of having been saved and born-again. It cannot NOT bring salvation. Christ alone
is the Saviour, we are not.
[Jde 1:25 KJV] 25 To the only wise God our Saviour, [be] glory and majesty, dominion and power, both now and ever. Amen.