In theory yes, in practice no. I'll skip over all the physics of angular resolution, and say that to see details such as footsteps on the moon, you'd need a telescope that magnifies approximately 330,000 times. That'd need a mirror with a diameter of around 160 meters. That's 16 times bigger than the largest telescope on Earth right now.

So in short; could it be made? Yes. Are we even remotely close to doing so? No. It's simply cheaper and easier to send up a satellite with "normal" cameras than to build something like that.

Yes and no. The problem is of course that the moon is really fucking big, so if you take a photo that fits all of it into a single exposure, you're going to lose out on a lot of details.

So it kinda depends on the quality you want. If you want this level of detail, then no, you can't do that in a single exposure. If you just want a high res photo of the moon, then you definitely can, but it won't look particularly exciting.