Possible yes, probable no. And it really depends on what you mean by "crack".
If you mean simply cracking the hash of a password, then yes it is quite probable. Brute force, dictionary attack, and straight-up guessing are all viable ways of getting the password. That is, if you have access to the hash.
If you mean breaking into facebook itself, through various levels of security, then it's been tried time and time again with very few, limited successes. If it were easy, everyone would be attacking it.
Assume that everything I say is or could be a lie.