2 Inch Locking Caster Wheels Set of 4 – 600+ LBS Capacity, Black PU Casters with Dual Brake for Furniture, Cabinets & Light Carts – NOT for Heavy Machinery or Industrial Use

You definitely could if you don't need them to lock! You could mount them an inch or two in from the edge. Or have the trim overhang the bottom but I'd think it would get beat up pretty quick without the support of the panels behind it. Edit link to casters