No problem.
My own experiment is a 'natural light' grow (in a conservatory) as opposed to a windowsill, but there are lots of 'grow logs' regarding the success of windowsill (outdoor and greenhouse) growing.

Check out the 'Basic Growing' section for lowryder logs

The lowryder strain being auto flowering is ideal for this type of endeavour. You can grow them on a windowsill until they show sex (at around 17 days) then transplant the ones you're keeping outdoors into prepared soil/ferts. Another advantage due to their small size is it makes them particularly good for stealth growing, surround them a couple of tomato plants etc and any inquisitive neighbours you might have won't have a clue.