If you start with cutting, you could reduce the veg period to 2 weeks.
You also can start directly in flowering, but I don't recommend as you can have variable results. Also, the advantage of non-auto, is the control you have over the entire culture to push all your plants into flowering at the same time.
The shortest time I've let my plants in veg was 4 weeks, without training.
But the best to me now, is 7~8 weeks, with rotations between 2 grow spaces: when I harvest the plants from the Flo space, I put the plants from the Grow space into the Flo space (and start flowering) and use the Gro space to dry the flowers before starting to grow again.
In result, I can harvest every 2 months, and because I take the time in grow to have big well trained plants, I easily hit the pound of dry flowers each time.
I find it way better than rushing the vegetative period and I can achieve 3 or 4 rotations a year (I don't grow in summer, too hot and I'm usually not at home at this time).