Not with that attitude.

But a portal was put on the moon and the moon is a moving object, technically everything is because earth is moving through space

.....good point. but im assuming that while making those portals they factored in the gravitational pull of every object in the solar system comparatively to the sun , perhaps even the galaxy. otherwise black mesa wouldnt have been able to do it as well.

In portal 2 you have to shoot a portal on a moving target, it's when you break the neurotoxin container and cause it to go into dangerously unlethal levels.

I think they explained that during the part mentioned, as long as the portal surface is moving at a constant speed, the portal will stay.

Well then... it's Aperture... knowing them you could double the portal gun as a cheese grater and a walnut cracker.