So, according to the first 10 posts which consist of either emphatically yes OR why not the last three posts point out that there are manufactured equipment sold that are FCC compatible with no license. Ha, one of the emphatics even said something to the point that the antennae needs to be permanently mounted. Strange my legal fatsharks have a screw on antennae.
The answer really is, it depends. You are responsible for picking and using equipment that is legal for your level of license. You can go buy someone a HAM transmitter but if YOU use it, you're breaking the law. Same here. How many of you went out and got a HAM license to fly that Cub looking thing you got at the toy store? Most people didn't because it was produced and sold under the same idea and rules, no license needed. When I started in this hobby you HAD to have a Citizens Band license (KBPN 5902). No longer, unless I wanted to use HAM frequencies and equipment. (and of course, that's a different license)
So, if you want to do something completely different from the rest and be an informed consumer, study the equipment you want to use and see if you have to have a license to use it.
Honestly, if you have time and would like to give the HAM thing a try it's really easy now and getting a General isn't that hard either, most people should be capable of it. But they do require you learn the rules and your knowledge of being able to look them up. Past this application and a couple other specific uses I've no desire to do the HAM thing of communicating around the world with my shack. It's interesting but just not something I want to use my time for. After all I have the internet to do that with WITH an added benefit that I can type, edit and then send my message. You think I look stupid now, just talk to me live. The emphatic answer of YES!!! Why NOT!?!? looks a little desperate "PLEASE JOIN MY CLUB". When the actual answer is just a bit longer.
If you have the time though, it's not hard to get a license and it will open up more capabilities and equipment for you. A HAM FPV web site with links to the standard practice tests, equipment and setup forums would probably be a good idea.
Now, go to that link, read through the material and take a practice test or two then contact your local group about taking the test.
Have fun.