MMMM,.....Well if a few weeks mean 8-12 weeks, yes i can see where that will do it......(I'm in VA )no problems. Even bigger maybe.
Had a friend said his bananas haven't bloomed in 3 years.....?????? Showed him mine after this year and asked him if mine would bloom next year and he said maybe,

Well if they don't they will be 25' Maybe more
Mine are in the gallery, look at the dates, oh yea my first year growing too......

Good luck to all..........