Absolutely not.
Accommodation starts going up in November/December meaning come February, all the good/cheap houses will be gone.
I will say though, be absolutely sure you want to live with these people… I lived with someone who turned out to be a pot addict… and who pushed this onto someone with severe anxiety… and this was someone I chose to live with without knowing it would go down this route!
So if you can, try and find someone (or multiple people) within the next month or so, but I think you still have 6-8 weeks to still comfortably find a house. 🙂
Be aware I don’t know where you are so I don’t know how abundant the accommodation is in your area but I lived in Bristol and that was the general consensus of things.