Some do. Ivy is a killer. It will get into the bark of a tree allowing insects and disease.
Poison Ivy is horrible, as in the South is kudzu. Some natives, roses and clematis are OK as is climbing hydrangea.

You'll need to identify the vine and then decide if you need to get rid of it. You cut the vine, and then just brush kill over the cut with an old chip brush. Do not pull the vine off of the tree, cut and kill it, letting it fall off if it is stuck right into the bark. This allows bark to heal while the vine is dying.

GGG