Does this make us related?
If your cousin's cousin is not also your cousin too, then you are only related by marriage and not by blood.
No, you are not related. I, for instance, have cousins on my mother's side. I have cousins on my father's side, too. They have met once or twice, but they have no common ancestors and they are not related to each other.
The only way you would be related if some place back down the line you share a common ancestor.but being a cousin of your cousin doesn't mean he is related at all.