The answer to the second question is a clear NO.
The answer to the first question is NO, too, but with a caveat:
One could CHOOSE to place oneself into situations wherein suspension of disbelief is likely to be facilitated, like when one CHOOSES to go see a play.
What if (hypothetically) one went to see a play entitled 'Two Plus Two Equals Five' and then actually began participating in the play, not as spectator, but as an actor, on stage, with a role to play. Suspension of disbelief might then be prolonged (and qualitatively altered).
Let us now go a step further and allow ourselves to imagine this play lasting, oh, I don't know... say, a hundred years.
I think you can see where I'm going with this.
At no time has the individual 'chosen' to believe that the 'plot' of the play (namely, 2+2=5) is reality. However, one could easily get caught up in the dynamics of acting.
Under pressure not to 'spoil' the play for your fellow actors, who depend on you (and upon whom you depend), coupled with very real, and unpleasant, consequences of being a 'spoiler' (consequences like being ostracized, or being 'burnt at the stake') further coupled to the allure of tangible rewards for 'pulling your weight', one could conceivably go on forever, for the entirety of one's life, always acting in character, never leaving the stage (indeed, never intimating that there even IS a stage!).
By this time, whether two plus two equals five, six, or four, is of no importance. 'Two Plus Two Equals Five' is but the name of a play within which you happen to have an important role to play. We all do this to some extent without even realizing it.
Sometimes, however, something unexpected happens. A fire in the theater breaks out. The lighting system fails. And one finds oneself OFF-stage, OUTside the theater, and very much IN reality! One always knew 'reality' was out there, but only as a foggy memory, tucked away, 'just in case'.
What happens next is anybody's guess. But one thing is certain: the play is over! and 2+2=4 (not 5) as it always has.
The individual HAS made choices: going to see a play; ceasing to be but a spectator; agreeing to go on stage; acquiescing to requests to 'get involved'; and, finally, freely CHOOSING to play a role. But not one of these choices relates to the play's title. At no time has the individual placed faith in ANYTHING, least of all in mathematical contradictions!
Therefore, the answer is NO. Faith in 2+2=5 is NOT possible (and is, in fact, irrelevant).
Imagine, now, the converse: that unexpected interruptions do NOT occur; that the 'show goes on'. The on-the-ground reality is that 2+2 might just as well be 5 (and that you are terrified to leave the stage!).
As regards religion, I think the analogy is clear; and any atheist who has not always been an atheist knows all too intimately the particulars of this analogy.
A paradox arises: that 'true faith' (in its classic sense) does not, indeed, CANNOT exist; that what we label 'faith' is, in point of fact, nothing more (or less) than a suspension of disbelief (albeit, under duress, however abstract that duress may be, even should that duress be self-imposed).