do you mean to ask how to do it in Orbiter or how it is possible to do so IRL?
The ISS weighs about 450t, to get it to the moon you need about 4,5km/s delta v (give or take a few km/s')
to achieve that we need a total mass of about 450t*2.7182818^(4.5/3.9) -> 1425 tons, or 1000 additional mass that is purely fuel, so probably more like 1100 additional mass with an engine with enough thrust to eject itself from the earth to the moon and inject in moon orbit.
In real life terms, the ISS would need major refurbishing because the amount of thrust required to put the ISS through these maneuvers would quickly pull it apart as the different points and joints on the ISS can not take the stress of the kind of thrust that would be required to reach the moon with a reasonable dV budget.
Additionally we do not have the capability to put a one piece vehicle of 1100t into orbit in a single launch or the ability to assemble it in orbit not to mention that it'd be darned expensive.
Additionally, the ISS is in an extremely inclined orbit. An inclination change would be necessary and the amount of inclination change required is about 55° and this would be a very expensive undertaking on its own.
Maintaining a moon orbiting ISS would be a lot more expensive too because ferrying payloads (for life support, etc) to the moon is more expensive by a few orders of magnitude.
If you want to do it in Orbiter, you just need a ship that can dock with the ISS with its thrust vector aligned to with the ISS center of mass, and do a translunar injection to intersect with the moon. The highly inclined orbit that the ISS has gives about two times per month during which you can extend the orbit of the ISS enough to intersect with the moon's orbit. If this method is used, you have to expend a lot of additional dV to inject into lunar orbit because your translunar orbit is not parallel with the moon's orbit. You'll also have to deal with attitude control, which the translunar support vessel will have to have incorporated in it because you won't be able to effectively put the ISS in the proper directions for the maneuvers which you are thinking of otherwise.
I'm sure there are other challenges I haven't thought of yet and I may have made a couple mistakes.