Yes, you can get a charmander. After a certain point in the game, after obtaining the National Dex and beating the elite four you can get a 1st gen starter after talking to Professor Oak the three locations are as follows: Bulbasaur - Twinleaf Town
Charmander - Floaroma Yown
Squirtle - Twin Leaf Town
From what I read they are all level one. Haven't tested this yet but will post when I do.