For what you want, yes you can do exactly that.
BUTyou have to take the action range / IPSC orientation class (
sardinia.globat.com/~tcgc.org/cgi-bin/calendar.pl?view=Event&event_id=219), then you can use the 'tactical' range and draw from a holster and shoot/move.
The class is the 2nd Saturday of every month... conflicts with Practical Rifle... Pisses me off.
Until you take the class, it is paper punching from the bench on the general purpose pistol range.
the biggest minus is that there is currently no shoot on the move area for center fire rifle but you can use pistol caliber carbine in the pistol pits.
And yes, joining is only an option before the monthly meeting. they're non-profit place run by a bunch of old dudes and that is when they do it... might not be perfect, but they are one of the only games in town so there ya go.