Hi Hannah,
No reason why you can't achieve that, I tried to do it, but on my 16th the weather was rubbish, so I soloed the day after!
I'd suggest you space out the ab initio stuff (climb/desc, straight/level, med turns, stalling etc), then hammer the circuit out closer to the time. Twice a week closer to the time should do it, see how it goes. good luck. I managed to get a family member to video my first solo too which was great, looking back, so long ago....