No... you can't... click the red button that says "Player" under the bottom left of your chat frame and you'll see why... the party frames leave no room for it to be bigger.
btw: if your tracking button does not work, then something else is interfering with it. I strongly recommend you go to
http://www.nUIaddon.com/documentation.html and click on "installation" then follow the first time installation instructions... it will solve a LOT of problems.