Absolutely.
I make some of the most delicious /potent(kills everyone who drinks it-kidding) wines ever, from wild grapes. The process is the same as domestic grape. leaving the skins on will give you a dark purple wine so using a separator(mechanically separates the meat of grape from skins) before pressing, will give you a nice red wine.
**It is very important NOT to pick your grapes until after the first good frost. This activates the sugars in the grape. If you notice blue colored bird droppings around the plants it's time to harvest.
They have a large seed so you'll need lots of them
Then follow your favorite recipe and use a good yeast. ( I've used bread yeast w/ good success too -in a pinch)
Be sure to wrack/ filter them several times
You can barrel them and obtain that nice woodsy flavor/aroma. I use new U.S.A made white oak charred barrels from ILL.they can be used several times keep them clean and do not mix red wine barrels w/ white as they will pick up flavor/color. keep red in red white in white.
I also make dandelion, strawberry, peach, apple(I grow 8 varieties) blackberry, raspberry, from fruits I orchard on my 1 acre property I've even made pineapple wine from some that were going south(over ripe).
Enjoy!