It would work in Trek, because they specifically have tractor/repulsor beams that can exert physical force. Earth-moving blades would not work on hovertanks in the (ugh) "Hammerverse" because of simple physics. A hovercraft is going to need to exert force equal to its mass plus the mass of what it's shoving, plus friction works for the dirt and against the hovertank. Here's a visual reference:
A tank on a tractor-trailer. It's not an unusual amount of truck. A few more wheels than normal, just to spread out the mass, but you wouldn't look at that and say, "wow, look at all that truck."
A tank on a hovercraft. It takes an enormous hovercraft to carry one tank. Holy crap, that it is a lot of hovercraft.
...actually, I cheated there. The tank in the first image is an M1A2 and the tank in the second is an M1A1. The A2 weighs about ten tons more than the A1 and cannot be carried by the hovercraft at all.