Certainly, the grapes too make a fine jelly candidate. Though native species tend to be consistently sweet, occasionally they are a little acidic/acrid (irritating to the lips and mouth after eating a handful (or many handfuls).
View photos of the plant Parthenocissus vitacea (False Virginia creeper), profiled in Wild Edible Plants of Arizona.
Parthenocissus vitacea (False Virginia creeper)
Parthenocissus vitacea (False Virginia creeper)
Parthenocissus vitacea (False Virginia creeper)
Parthenocissus vitacea (False Virginia creeper)
Parthenocissus vitacea (False Virginia creeper)
A passage from Wild Edible Plants of Arizona:
The edible part of False Virginia creeper is not the fruit (I repeat, not the fruit), but rather the very young leafing vine tips. Snip them from the plant when they first emerge in the spring and eat fresh or prepare them as a cooked green.