Almost.
A C-130J-30 can certainly carry the weight, but the MOAB needs to be dropped from 50,000' for adequate penetration.
I'd be willing to bet a rocket assisted fall could be dropped from 28,000', and have the terminal velocity of a 50,000' free fall...
It’s a MOP, not MOAB.
The MOAB is a air burst weapon for things on the surface.