In theory, yes; in practice probably not ...
i) It's perhaps helpful to take the Andromeda galaxy as a first working example. It is somewhat bigger than our own Milky Way galaxy but not so big as to be a problem.
When we look at Andromeda, it appears to occupies an area about 3 degrees by 1 degree. By comparison, the Moon appear about 0.5 degree across. Andromeda is a good target to see, a little faint but it is just about visible with the naked eye on a good night.
Andromeda is about 2.5 million light years away so, even travelling at the speed of light, it would take 2.5 million years to get far away enough from the Milky Way so we could look back and see our galaxy like we see Andromeda today.
( In Star Trek, the writers seemed broadly to limit themselves to adventures within our galaxy for the same reason: within the realms of sci-fi, perhaps they could justify getting around the Milky Way within a reasonable period of time - not so to travel between the galaxies )
ii) To reduce the apparent size of our galaxy to a dot would require travelling at least 10x further or probably more - depending on how you are observing. 50 million light years, anyone?