Nope, they are not.
Long story short - there are 2 types of RGB in general. Your controller is a standard RGB signal based, meaning a signal for each color and a ground wire, so 4 wires.
Your fans on the other hand is ARGB, meaning addressable RGB. I am not sure how it works, but you can literally set every LED light in different color.
They are completely different electrically so you can’t combine them.
Honestly I don’t use any RGB in my system. I have 2 led strips, bit I have literally set them to white light when I bought them and haven’t touched them since.