Arduino Uno RC Boat

Hello, I recently started Arduino and I was wondering would it be possible to make an RC boat with like 50 bucks (I already have my Arduino). Is it possible or would I need to think about using a Raspberry Pi? I would like it to be a speedboat and usable via WiFi or Bluetooth. I have a USB controller for pc, so I'd plug it in the computer which would communicate to the boat. Thanks for your help, mastergeek64.

Make sure that the wireless connection will cover the required distance.