Yes, but by the faith of Christ, even we have believed in Christ. In other words, through Christ's faithfulness, we are given faith as a gift.
However, our faith is not what saves us, Christ's faith is. Regarding, Christ's statement above, it is true that those who believe on Him have everlasting life, but the question is how do they come to believe in Him? It is through Christ's faith:
[Gal 2:16 KJV] 16 Knowing that a man is not justified by the works of the law, but by the faith of Jesus Christ, even we have believed in Jesus Christ, that we might be justified by the faith of Christ, and not by the works of the law: for by the works of the law shall no flesh be justified.