Move mouse / Send keyboard shortcut to iPad during Universal control

I often view lectures on my iPad while taking notes on the Mac. However, at times I'll need to pause or rewind the video on my iPad so it'll be very useful if I could send my cursor to the iPad's screen and click (so I can trigger whatever keyboard shortcut I want to use). Alternatively if I could send a keyboard shortcut to anything on the iPad would work too.

Is this possible?