Yes you can unless restricted by owner (should be posted). You're Lucky, I can't carry a gun anywhere in my in my State...because I live in the "People's Republic of New Jersey" and I can't wait to move!!! (I do have a Fl non resident CCW)
I'm sure you meant you had one but make sure you first have your Handgun Carry Permit (or other state equivalent). ON YOU. Carrying a loaded weapon in any manner is illegal in TN, the Permit is a legal defense.