While nobody can really say, I'll hazard a hopeful guess
that: given your height (similar as mine) and high weight (also similar to mine) and youth (oh how I miss that!) I think you have a good chance of NOT having overly loose skin.
Heck, it can't hurt to have a positive attitude! So repeat after me: I won't have loose skin, I won't have loose skin, I won't have loose skin.
(and if I do I will accept my small, itty-bitty imperfections and love myself anyways!)
But the proof will be in the pudding, you won't know until you lose the weight.