Of course you can!
Drive a Tank in Kasota, Minnesota is the place you want to go to, since a former competitor in Texas (Texas Tank Adventure) has apparently closed their doors.
Drive A Tank is a family owned and operated business in Kasota,
Minnesota, USA. Here you can experience real armored tanks up close
and personal, get behind the controls and attempt to navigate our
densley wooded course. You can even crush a car or two! We have a
number of U.S. vehicles and several imported British M.B.T.s, S.P.G.s,
and A.P.C.s! Afterwards, sample a few of our fully automatic
machine guns in our indoor shooting range. Our state of the art
facility is capable of handling up to .50 caliber ammunition.
For those who live too far from Minnesota, there are possibilities in New Zealand, Germany, and the UK as well, to name just a few.
Just remember: Tanks aren't built for comfort, so if a seriously bumpy ride leaves you with horrible headaches, then this may not be for you - or you need to bring your painkillers.