YES, sort of.
Say if you have a short board with really tight trucks VS a longboard with loose trucks, the long board can probably turn better, tighter turning circle.
So Primarily turning circle really comes down to how loose/tight the trucks are. So if you want the best turning circle you need short wheel base and really loose trucks.
I think it is worth pointing out, short board with loose trucks, will be much more responsive (you could also say, jittery, erratic) at high speed. This can also make them more prone to speed wobbles also. So it can be very hard to ride at high speed unless you are experienced & confident rider.