Can I change what is on the control center screen?

Sorry, I didn't realize you were asking about your Apple Watch.

Here, Use Control Center on your Apple Watch - Apple Support

Scroll down to: Rearrange Control Center

Here is your best guide for the apple watch, Use Control Center on your Apple Watch - Apple Support

Yes, you can customize it as per your needs. To know how to do this: Access and customize Control Center on your iPhone and iPod touch - Apple Support