Posted as guest by Beth:
Hello! I am hoping to do that Montblanc circuit in 6-7 days. Is this even possible? Any advice or tips would be great! I land in Geneva and then make my way to the trail. Following the trail I’m heading to Lake Como. I have 11 full days to do both before flying out of Milan. Please help! Thanks!! 
It depends on you.
I did it in 5 days with tent and own food: heavier and slower, but perfect for long days and unplanned bivy spots.
If you have some experience with hikes and are at least in ok shape, 7 days should be no problem if you do longer days.
Sometimes this trip is planned in 10 days, but it has always seemed too long in my opinion.