Yes, you can (sort of) do this on a freeplay style, as long as you don't use the fill-ins (free play isn't *really* tempoless; it just doesn't have a discernable beat, but fill ins often make it very clear where the end of a measure is)
Alternatively, if you removed the drums from a style (just turn them off), and you set a pedal to tap tempo and tapped along to your drummer's beat throughout (or as needed... for the most part you'd be in time after a few beats, but then start drifting and then you'd need to tap 4 beats again)
But yeah, if you tap "four on the floor" with your foot anyway, you might as well set the pedal to tap tempo, and then your accompaniment will more or less follow the drummer.
But don't quickly tap 8 or 16 beats on fill ins!!! You have to stay in a quarter note groove, or it doesn't really work!
Mark