Like Steve says, it is possible but not really practical for mulching or use as a ground cover since they will not grow thickly
enough to shade out other plants.
Add to that the very close spacing you would have to use and you rapidly have no sparse
root area to grow food plants.
I have an area that is wild grape vines and around 10 species of
native grasses grow up through them every year.
One other thing about grape vines, they are natural climbers, when they reach anything vertical like a tree, shrub,
fence, wall, they are going to climb up it (that is the function of the tendrils that grow opposite the leaves).