bottle carbonating, especially at lower temperatures, takes more than 2 weeks. there will be CO2 present at two weeks, yes. but at 14 days you will be drinking a partially carbonated beer mixed with priming sugar.
you may like to drink beer that isnt finished yet, but do not suggest to others that this is the correct or common thing to do.
i would chill and test a bottle or two after 4 weeks and see how you like it. not sooner.