Yeah it is quite fiddly with the new input system to do it "properly" but it can be done though! I'm sure you're up to the task!
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Sadly not. The quick and dirty solution I can think of off the top of my head is just having a single Input Action asset that has actions for both first and second player and then have a input controller GameObject that sets the inputs of both the first player and the second player. I'm not sure how this would work when a controller is connected though so it'll get a bit complex from there. I hope this is helpful!