Do you need to do a pre-trip inspection on a non cdl box truck?

You really should, regardless of the usage. If it has an FHWA annual inspection sticker, then it's subject to FMCSA regulations, the same as a vehicle requiring a CDL is, and Barney can pull you in for a Level 3, Level 2, or Level 1 inspection, and likewise put you out of service. So the PTI is a good idea.