Why not? I've been driving Zs and ZXs since I was 15. They've taught me car control, especially in snow and ice (being a DD in a place where it snows every winter). I've had an 83 ZX, then a modded 280zx turbo (all work done by myself), and now my stripped out 280z with the suspension and exhaust that most older people would hate (might drop my turbo drivetrain in my 280z this summer).
My sister learned stick and DD my 83 ZX and hated it when we sold it (at 16 too, now she drives a Subaru Outback and hates it...).
Just don't be stupid on the streets and know your limits. If the weather was too bad I'd call home and get picked up by my dad in his Isuzu Trooper that was phenomenal in the snow.
Just my $0.02,
Mario