Do I stand a chance applying to level 3 NICUs with only 6 months - 1 year of level 2 NICU experience?

Absolutely! Depending on wht you experienced in your level 2 unit, you may have the basics already and understanding of the neonate transitioning from womb to air. I will add that you don't want to appear job hopping, and make sure you give 4 weeks notice before moving on. Good luck!