Is time the same in different galaxies?

No. Time is not the same from frame to frame unless those frames are traveling at the same relative velocity with respect to one another. Even the laws of physics vary from frame to frame depending upon the acceleration. read more

So yes time would be same in different galaxies provided that they are moving with zero relative velocity. But, considering the fact that our nearest neighboring galaxy Andromeda is closing on us, time will not flow at same rate for both galaxies. read more

Our motion around the galaxy, meanwhile, which is about 125 miles (200km) per second, equates to a gain in time of about one part in every 4.5 million, which is an extra second every couple of months. read more