Is being a transport pilot a viable part-time job?

I a self-employed real estate investor who is interested in getting my pilot license. The main purpose would be to fly recreationally, but I do have a lot of flexibility with my time and would feel better about pursuing such an expensive hobby if it provided a little bit of income.

I live in the Midwest, fairly near to Wichita and Garmin’s headquarters so I would assume there are actually quite a few transport pilot jobs in the area, bringing planes to and from the factory and up fitters.

But I don’t really want a full-time job. I wouldn’t mind tying up a day or two each week, but that would be really all I would be looking to do. Being a transport pilot is appealing if it means it comes with an adequate amount of flexibility. Do you think there are companies that will be content to hire a pilot on an occasional or as needed basis?