Is it possible to see a spacecraft orbiting the moon with a pair of binoculars?
No. There are currently 5 spacecraft orbit the Moon (Or the E-M L2 point). These are LRO, Artemis P1 and P2, Chang'e 5 T1, and the Queqiao relay satellite. Of these, the largest is probably LRO. The solar panels, which are the largest part of most spacecraft, "he three panels together are 168 inches wide and extend out from the spacecraft 126 inches". Converted to meters, that is 4.25 x 3.2m. Just to give an idea of how visible that would be, Elon's Tesla Roadster, according to JPL Horizons, when it was at the distance of the Moon, had an apparent brightness of about 15.27. Using this chart, an aperture of about 50 cm is required. LRO should be a bit brighter, but not enough to make a huge difference. And none of this takes in to account the glare of the Moon itself. Whatever you saw, it probably wasn't a satellite. 

I suspect it was a star of some kind. If you can provide the date and time we might be able to figure out a candidate star.