This is a good question and the answer is no you can't.
You can have multiple inputs to press the button (for example you can make so that the button is pressed when the player presses LMB (left mouse button) or when they press Space), but the effect of the button can't be based on which input button the player pressed.
However keep in mind that the effect of the button can change over time or over clicks (for example your button can have a certain effect the first time you press it and have another effect the second time you press it etc.).
Thank you for your question, I'll update the rules
-Cah