Doesn't look like it. I remember having this problem a couple months back and someone suggested blowing into the analog space which actually worked! Blowing into it doesn't seem to be working now.
If blowing in it helped the first time, then it could just be dust around the contacts. A good cleaning around the buttons and analog sticks with some 99% rubbing alcohol and a Q-tip would fix it. I've never opened my Vita so I don't know how complicated it is, but YouTube might be a good place to research.
EDIT: I have a lot of experience fixing old consoles/controllers. If you don't have the right tools, aren't comfortable opening expensive electronics or are accident prone, than I don't suggest doing this.