Maybe some but you have a lot of time to fix it. In winter with snow on the ground that tractor isn't really in the picture unless maybe you could put a few in it. That depends on what the tractor looks like. Tractors are usually not set up well for winter.
The big problem is the chickens being locked in that coop section only, either by weather or you locking them in there for predator protection. The tighter you pack them the more behavioral problems you have to deal with, the harder you have to work, and the less flexibility you have to respond to anything that happens.
Is your run predator proof? Would you be comfortable with leaving the pop door open day and night? That would take care if any space issues when the weather is OK.
In the winter your weather will sometimes not be OK. Chickens generally do not like snow. Mine really hate a cold wind. You are going to have times where they will be trapped inside for extended times due to weather. If you can handle the predator issues, can you fix up a section of the run where the snow does not blow in (sides and top) and a cold wind doesn't hit them when they are outside. Essentially it is a coop extension. Some people are able to achieve that with tarps in winter but a strong wind can destroy tarps.
I personally don't believe in magic numbers. If you follow the link in my signature you'll see why. Conditions are different in Miami Florida, Calgary Alberta, Glasgow Scotland, and on the big island in Hawaii. The same magic doesn't apply to all of those. There are other issues than just location. Are you guaranteed problems with that many hens in that size coop? No, no guarantees any way, even with a coop two to three times that size. But personally I would not want to face one of your winters with half that many hens in a coop that size when the run will be off limits too often.
