Yes it does. I've been using Elmers Rubber Cement (about $1.50 for a 4 oz jar at any office supply or X-Mart, complete with applicator brush) for years to patch tubes using it and Rema patches. Done right, I've never had a failure.

You do want to have a fresh jar as it will dry out way before you use it up unless you have a ton of flats. That, BTW, is the problem with the large cans of Rema or other commercial patch cement sold for shop use if you buy them for home use. You will never come close to using even a fraction of the stuff before it dries to uselessness.

Elmers is also good for office work, kids projects and other household chores, which, of course, what it's actually sold for.

BTW, the little tubes of cement in the patch kits don't "vulcanze" the patch to the tube. The tube is already vulcanized and the cement is just thin rubber cement. You need heat to cause vulcanization and unless you iron-on the patches, that isn't going to happen no matter what's in the glue.