Yes Faith can save you, also depends on what your faith is in.
If your faith is about yourself then there is no chance.
True Faith is believing in what God did for you,
Hbr 11:1 Now faith is the substance of things hoped for, the evidence of things not seen.
Rom 4:5 But to him that worketh not, but believeth on him that justifieth the ungodly, his faith is counted for righteousness.
Rom 3:28 Therefore we conclude that a man is justified by faith without the deeds of the law.