You've gotta be kidding me.
In the rural areas, kids shooting birds with bb guns isn't frowned upon. In the cities, with lots of houses and people around, there isn't likely to be a safe direction to shoot in, for one thing. For another thing, shooting birds and squirrels within city limits out of season is likely to be frowned upon. Not to mention scaring the **** out of everybody else around. It's totally irresponsible to even suggest this.
Besides, concealed carry is intended to be an effective means of protecting your life against others intent on doing you harm. There is no other justification for drawing a weapon when you have such a permit. Shooting squirrels and birds doesn't fall into that category, and it teaches irresponsibility.