Yes indeed there are FCC regulations. Under Part 15 rules, technically, you can operate "intermittent control signals" in the 70 cm UHF band from 410-470 Mhz. I would refer to and familiarize myself with this FCC bulletin to know the rules:
https://www.electro-tech-online.com/custompdfs/2009/12/oet63rev.pdf
Here is the deal though. Be aware that this frequency is smack in the middle of the 70 cm AMATEUR RADIO band. Amateur Radio is the primary user of this band segment. Your device MUST NOT cause interference with "ham" transmissions. For instance, if your next door neighbor happened to be an amateur operator, he would have priority and a legitimate right to file a complaint if your transmitter interfered with his equipment. Generally speaking, many wireless devices operate control signals in this segment...ie alarm keyless entry, garage doors, wireless fans and lamps, etc. A very low power UHF transmitter will not create a strong enough signal to interfere with much and the "blips" of remote controlled signals like this are trivial. So as long as you do not modify the device or attempt to increase its power or use an unapproved antenna of your own design (with gain), you should be OK.
One more thing to be aware of. Amateur Radio being the primary allocant of this band is not bound to concerns of interfering with your device. If your ham neighbor keeps opening and closing your garage door when he transmits, for example, it is unfortunately something you have to live with. Any good ham, and most are, will honor the integrity of his license and if you politely ask him he will ensure his equipment is properly functioning, installed correctly, and radiating a clean signal. But that is just about all you can expect or ask being this is his frequency allocation as a primary user. UHF transmissions are usually FM and are somewhat wideband so that he need not be directly on your frequency to cause a problem.
I encourage you, if you are interested in radio technique, to get your own license an become a ham. It is fun. Note though that having a ham license doesn't legitimize a part 15 device making it "primary use" equipment. It does permit you to modify it however if I'm not mistaken if it is within an amateur allocation.
FCC: Wireless Services: Amateur Radio Service: Amateur Home