Nah, so few sessions will only reduce your hair. You see, hair, however dark, is immune to being permanently killed by laser for much of its life cycle, and that's a pretty long cycle. Outside the short vulnerability window, the hair might burn and fall off, but it'll come back. I'm not sure it's completely impossible or just highly unlikely that hair outside the right phase will die, but either way, to even have a chance to attack every dark hair when it's vulnerable, you probably need at least 5 sessions. 2 will only leave your face patchy; something like that.
At 7 sessions, I still had enough hair everywhere to have a noticeable shadow, and it's only recently, at my 11th(?) session that my upper lip is clear enough for a little bit of plucking at the darker survivors to keep my upper lip okay-looking. Now I don't really have an ideal profile for laser, for sure, but since the upper lip and chin are the most stubborn areas, I think it's simply wishful thinking to believe those places to be even kind of clear before you reach 5 sessions at least. Not to mention that normally the technician will start you off with a lower, probably insufficient, power level, out of fear of complications. Heck, both clinics I've gone to have chickened off on my skin despite it being almost without any signs of anything having happened to it within an hour or two after the treatment each time.
And yeah, once hair stops growing through a pore, the pore will eventually shrink. Should at least.