Is it possible for a virus to monitor my Facebook page?

[Edward.]

It's not a virus but someone can hack you account and do what he/she wants instead of you so my advise is to change your password very often to minimize the risk of hacking.Nowadays nothing is impossible so be cautions what you upload on you account.This type of hacking can be done on any other program not on Facebook only such as Twitter, Email Accounts and other accounts that we open from time to time on some sites that require our personal info.I recommend you to learn to avoid given information that is not necessary and close all accounts that you not use very often.Good luck.