Nope, the pen only sends button events as part of an existing tracking stream, not on their own, so, even if it's in range (and that's a pretty short range we're talking about here), you can't just click the button on its own and have it be a thing.
(So it's not even a question of binding the buttons at all, it's a combination of technical limitations even before that: hardware, because the range is short anyway, and software, because button events don't happen in a vacuum).
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