What you’re asking for is “Collision detection” when one object is moved towards another, the program “detects” and “prevents! any intersection of the two meshes.
So, No. ..not in DS.
Most programs use a much simpler method of moving the object to a specific location, (drop to floor) in this case, it doesn’t matter if there is any “floor” object, since the figure is simply “moved to” a preset level in the scene.
Also,.. Using physics based collision isn’t a good idea when you’re likely to have intersecting meshes such as a figure , with clothing, and hair…. it’s a lot easier with an undressed figure, and there’s much less to calculate.
Although it may seem logical to be able to create a physical floor, and have the figures stop when you move them to it, ..
It’s easier to switch to the front view, or Multi-view, and move the figures into the positions you need.
Carrara has a Collision detection “switch” but if you’re working with dressed figures, then it’s best left Off, or switched on only when you’re moving the other scene objects.
Hope it helps