... you could build and launch your own satellite.
For now, you can only go to low Earth orbit but someday you might be able to get your picosatellite out to the other planets.
If you want to use your satellite to look at Earth, though, you need to get a license*. If, though, you want to land your object on the moon or another planet, all you need is permission from the government of the country where you're going to launch from. The treaty which requires that you get permission also says you can't fly to the moon and claim it as your own.
*As part of that license you have to agree not to take any high-resolution images of Israel, in case you were wondering about how lobbying affects space exploration.