Mac Studio and MacBook Pro connected to Studio Display

I did not find any valuable information online and I thought somebody can answer this quite quickly 😊 

This is my situation:

• I use a MacBook Pro for work
• I use a Mac Studio for personal use
• I use an Apple Studio Display

I have two questions:

1. Is it possible to connect both devices (the MacBook Pro and the Mac Studio) at the same time to the Studio Display?
2. If #1 is not possible, what options do I have? Would I need a KVM Switch that would work with the Studio Display’s Thunderbolt 4 Port? Are there any Thunderbolt 4 Switches out there that you could recommend?

I used to be using an Eizo EV3237 31.5" display that has two inputs and a button where I can select the source signal. For the keyboard, I am using a 4-Port USB 2.0 Hub which I can switch between two input sources via a button. This setup is now exchanged for the above-mentioned and I am currently looking for possibilities to have a slick setup without a lot of cables and stuff.

Thank you all in advance for any help.