Yes, very cute. Both the interaction and the profile picture.

Dunno about New York, but in Ontario, you can get a G1 license (which requires a licensed driver to accompany you) when you turn 16. Then if you go to driving school, you can get your G2 (which allows driving alone) after 6 months, IIRC. Otherwise I think it's 9 months or a year? It's been a long time since i got my license, though, and it was during the transition to graduated licensing (I got an L license under the old system, then a G2 under the new one), so my memory's a little fuzzy.

I know a lot of places you have to be 18, or even older, though.

US rules have it at 15.5 years old for a training license that requires a licensed driver 21+ to accompany, 16 you can get the "real" license.

In panel 4 of this page, allison is said to have her license

besides the fact that she's around the same age as Gavin and Rain, so around 17 or 18, it's actually been confirmed in comic that she can drive, as she drove to meet Gavin when she was first introduced.