Can a moon orbit two planets? Is that possible?

there is a Planetary System Orbiting Two Suns which call Kepler-47, so it is possible that a moon can orbit two planets. but i think it is more possible if the two planets were not orbiting a star. (in the photo change the star into planet and change the planet into the moon, and the whole system shouldn't be orbiting a star

I've thought of this too but I feel it's highly unlikely as both planets would have to be the same size or mass (or else a moon will just orbit the bigger one) and depending on the two planets orbits themselves if they orbit each other like in the shape of an O and then where would the moon go?

Start at the basics. A planet is a body that orbits a star. Two planets with two different (orbital) distances from that star have orbital periods different too. That makes their distances vary very much. For one satellite (you are WRONG to call it a Moon that is a proper name reserved fro Earth's satellite just as any other satellite has its own name) to orbit around two planets both the planets should be proximal sharing the same gravitational bond. In other words their distance should be marginally same with a little variation. For in stance Earth-Moon distance vary form 0.523 AU to 2.523 AU that is extreme by any consideration. You take any pair of planets, in any system they behave the same way without exception. I can assure you that you can't think of a planetary system where the distance between them is almost the same through out, or varies only marginally but not significantly.
In the absence of this you can't think of a satellite performing an orbit around the two of them.

Yes if it orbits around the outside of both planets.
No to a figure 8 orbit because when it passes between the two planets, the pull from both planets on the moon is equal and it would then zoom off into space in a straight line

In theory, it's possible for a moon to orbit "around" 2 planets. In this case, the moon will orbit around the barycenter of the binary-planet system (since we're talking about 2 planets).

Anything is possible with the right orbital velocity.
In the figure of 8, the orbital velocity of the moon would be related to the distance between the planets.

1 is more likely than 2, which I'd think wouldn't be very stable.

In a way, yes.

Look up Pluto. Pluto's largest moon is Charon. Pluto and Charon are considered to be a binary system. In addition Pluto has moons named Cerebrus, Styx, and a few others.

You're fatter than the moon.