Handyman working along side general contractor
As long as the work areas don't overlap too badly it should be no problem whatsoever. People who do larger renovations, for example house flippers, hire lots of different contractors for different purposes. Serious contractors are used to working on shared projects and have no problem with it.

Just organize the dates and areas to be worked on to not overlap.

I had situations myself where I hired attic cleaners at the same time as plasterers for the living room and a demolition crew for the garage.