Yeah, I have moved them with the inks in them no problem as well.
Also, I take the printer off the stand, put a packing blanket or two in the bed of the truck put the printer in, cover it with more packing blankets and strap it in well.
It's not as big a deal once it's been set up.
Now if you are having it moved for you, strap tightly to pallet and let it go. All that motion might be good for the print cartridges and heads...
IMHO, FWIW, YMMV