Hey there! @MP25, Welcome to HP forums.
I understand you would like to get multiple screen setup and you need to know if you can use without using the mouse.
Don't worry I'd like to help you out.
As you mentioned you want to connect 3 monitors connected to your PC.
I would suggest you go for a commercial product like a Zbook workstation where you can connect multiple monitors.
And also you can buy HP elite display which has a built-in touchscreen.
You cannot drag documents between the monitors without using the mouse.
However, you can use the touchscreen of your monitor and drag the documents.
Also, you can use your keyboard as a mouse.
1) Navigate to "ease of access centre" (Control Panel >Ease of Access > Ease of Access Centre)
2) Click Make the mouse easier to use.
3) Under Control the mouse with the keyboard, select the “Turn on Mouse Keys” check box.
4) Then "set up mouse keys" to your desired preferences.
Let me know if this helps!
Have a wonderful day ahead! 🙂
A4Apollo
I am an HP Employee