It's possible to this my license get suspended or something?
Yes. If you made any violation to the toll regulations and you failed to assist to a DMV hearing for this, your registration will be suspended immediately.
That's what happens when I don't pay a toll?
The NYS DMV may send you a notice of registration suspension. The notice will advice you that if you pay all the tolls, fees or charges owed to the tolling authority the suspension will not take effect.