Are you talking about having an initial piercing done at 2G? It would probably be a 4G piercing that they immediately stretch to 2G. If that's what they're talking about, yes, bleeding is normal. I bled a lot even with my 10G piercings. If they're talking about stretching you all the way to 2G from a normal piercing, don't do it! Bleeding is never okay when stretching.
I have 1/2" lobes and 11 piercings: left helix x2, both conches, both nostrils, septum, navel, and VCH.
My lobes are small but I know a lot about stretching and how to do it safely, so message me if you have any questions!