I have a green card and I am planning on getting my permit next week. Will I be able to get it?

I got my green card when I was twelve. I turned sixteen a year ago and it's just now that I have time to get a permit. But I heard from my friend, who's from the Ukraine, you can't get a permit if you got your green card at a certain date prior to a certain age. I am turning seventeen in 22 days. Will I still be able to get through the sign up process and go on with the testing? I live in Connecticut. I don't know if knowing that helps to answer my question.