Any chance i could transfer to stony brook?

I am currently a freshman at St Johns university. I want to transfer to Stony Brook next fall 2018 but my high schools gpa wasnt the best my current gpa is a 3.4 and i have 12 credits in progress i will have 27 by the end of the second semester should i wait to apply or should i be applying now? Im worried if i wait to apply that i either wont get it or wont get housing!