Yes you can drag with your hard top on, you will also have to rollup your windows, or install on Gen 1. You cannot drag without a top if you don't have a rollbar, unless your car will not run sub 14's (this is a rule you don't want to test). You should be good as long as you have a helmet SA 2000 with Nomex. If you break 12's depending on the track you may get booted for no level 1 fire jacket, but that will really depend on the track and the tech guys.