This answer has security implications - inform yourself before use and use it only on a private network.
You can leave another ssh user on your computer and forward the X11 connection to his own machine using the -X or -Y options.
So another user:
ssh -Y someUser@yourPC yourApp
You will need to think about whether you want to trust this user to log in as you do, or if you want to make another user on your PC that could only run your specific application, and another.
Another option would be to allow another user to make their X11 display available to your PC by typing the following on his machine:
xhost +
Then you can run your application on your computer, but with the display being sent to his machine - thus, he does not need to log into your computer or have his password:
DISPLAY=<otherPC>:0 yourApp
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