Did it once with some concord grapes that grew in the backyard. You don't really need a kit. Get a big plastic garbage can or porcelain-lined pot (not metal because the metal can leach into the wine), stomp some grapes (or just about any other kind of fruit), add some yeast and sugar and let it sit for a while. There is a little more to it than that, but not much.
It was fun and easy enough that I would consider doing it again (for the enjoyment of friends, my own alcohol intake wouldn't make it worthwhile). The wine we produced had an interesting and unique flavor. Quite good. I guess we overdid the sugar, however, because it came out a little like rocket fuel. One friend who (shall we say) has considerable stability after consumption of alcohol found himself woozy after a couple of glasses.
You can make the stuff out of just about any fruit that produces juice, so you can produce all kinds of interesting concoctions that no one else will have. The only limit is your imagination. I would personally recommend experimenting with something besides the grape juice that comes with the kit. Why go to all that trouble just to get ordinary wine?
Sounds like a good gift to me, and it will give you both something interesting to discuss over the next few months.
ETA: In response to your question about how much time it takes -- not much. A few hours to set up -- which, for us, was mostly involved in crushing enough grapes to get the juice. Then you put the juice, yeast, and sugar in the pot, stir it, and let it sit. Some time later you may stir it again. After a while you strain the whole thing and put it in bottles or jars. Even a fairly busy person should be able to manage it.