First let me say you can pretty much make wine from all grapes, just some of that wine will be better than others.
If I had a picture of the leaves, I could probably tell if it's wine grapes or not, but I am guessing that it's just table grapes. I think the easiest way to guess that wine grapes get powdery mildew quite easily and table grapes (bred from north American grapes vs. European grapes for wine grapes) don't get powdery mildew. Here is a good website showing what it looks like on grapes. If they are wine grapes, they should have it by now (unless you have been spraying chemicals to prevent or get rid of it).
The other key indicator you won't be able to figure out until the grapes fully ripen. When they are ripe, squeeze the grape and if the skin slips off the inner part of the grape, then they are table grapes. If the skin just spits and juice comes out, wine grapes.
I'm about 99% sure you have a table grape since that's what most people outside of wine growing regions have access to and they are much more rugged than wine grapes. My bet is that you have a Concord, which is the most common backyard grape in the USA.
Yes, you can make wine from them. You might have to add some sugar since table grapes don't get as sweet as wine grapes, but it should make a decent wine!