Do some galaxies collide faster than the speed of light? If some galaxies expand away from each other faster than the speed of light then do they collide faster than the speed of light?
Update 1:

I guess my question is what's the max speed/velocity at which galaxies can move towards each other?
How long does it take for galaxies to collide?

If you could use this example that would be awesome.
Galaxy A: diameter of 3,000 light years
Galaxy B: diameter of 300,000 light years
If Galaxy A collide with Galaxy B , what would be the velocity at the collision?
I have no idea about what the time and distance would be.
If some galaxies expand away from each other faster than the speed of light then do they collide faster than the speed of light?

The short answer is &quot;no&quot;.
The expansion of the distant universe at apparent speeds faster than light is due to the expansion of space.  But the velocity of that expansion depends on how far apart the observer and object are.  If there are two objects A and B which we see apparently moving away from us at faster than the speed of light due to the expansion of spacetime then that is not how the objects will see each other.  They will be close to each other so from their reference frames the expansion of spacetime is negligible (just as it is for us and our &quot;local&quot; galaxies).
At some future time we think the universe may expand even faster at &quot;small&quot; ranges but in that case the two objects could not collide.  Once they are able to collide, they are close enough so that the effects of the expansion of the universe are not going to make them move apart faster than light.  Once objects move apart faster than light they cannot collide (unless the entire universe starts to contract).
If they are expanding away from each other faster than light (due to the expansion of space-time) then there is no way for them to collide.  No attraction could overcome the expansion of spacetime if it has already reached the point where they are moving apart faster than light.  It would require the entire universe to start contracting to do that.
So if it's going to collide with you, an object cannot be moving faster than light relative to you.

How long does it take for galaxies to collide?

This depends on how fast they are approaching each other.  In theory they cannot approach faster than light, so the upper limit is (simplistically) the distance divided by the speed of light.
A more realistic example would be Andromeda and the Milky Way which are approaching each other at a relative speed of 300 km/s.   Andromeda is about 2.5 million light years away and current estimates are for a collision in about 4.5 billion years, so that's moving much, much slower than the speed of light.