Most of us have a faith, for many that faith is not in any hokey old religion but in the things we have come to trust.
Can one have 'faith' that science is the correct path? I think so, I wouldn't call it faith like believing your actions are controlled by a magic ghost but I think it could still fit the word be believing in the ability of something to persevere even if it isn't immediately successful.
To show a quotation from an old TV show might highlight my point, "

OLD MAN 1: So much for your tolerant open-minded Starfleet ideals.
JANEWAY: There's a difference between respecting the spiritual beliefs of other cultures and embracing them myself.
OLD MAN 1: Fine. Don't embrace a thing. It's all the same to us. Go on back to your ship and play with your molecular microscanner.
OLD WOMAN: You've tried all that already, but it didn't work, did it. Kes didn't get better.
JANEWAY: No, she didn't.
OLD WOMAN: Why not?
JANEWAY: The Doctor couldn't explain it.
OLD WOMAN: So it's inexplicable. A miraculous non-recovery.
JANEWAY: We haven't found the reason yet.
OLD WOMAN: But of course you will. You'll find all the answers eventually, with enough time and study, and the right sort of tools. That's what you believe isn't it as a scientist?
OLD MAN 1: Be honest.
JANEWAY: Yes, that's what I've always believed.
OLD MAN 2: Even when her science fails right before her eyes she still has full confidence in it. Now there's a leap of faith.
OLD WOMAN: Unconditional trust. Now that's promising.
"