Can you download something on minecraft to go to the moon on xbox 360?

Unfortunatly no, but there's a PC mod called "Galacticraft" that allows you to do everything from making astronaut suits and rockets, to preparing oxygen tanks and digging for oil, before taking off to the moon. I believe there adding more planets soon too. If you'd like a video of people getting all set up and going to ths moon, I recommend "LetsPlay (no spaces) minecraft- galacticraft" its from a company called roosterteeth, who usually play on xbox like you, but went to pc to play galacticraft. Hope this helped!

I'm pretty sure adding mods to MC 360 goes against Microsoft's ToS and can get your account banned. Best to not dabble into it. The only "mods" that you can do require knowledge in Hex Editor and this definitely will not let you go to the moon.