It is for you to find out if it is possible. We can't know.
If you maximize the route for speed potential, then it is a matter of time to get into the fitness level you are asking about, or to find out you can't do it.
I wouldn't count on a quick fix here. So maybe incorporate mass transit or driving until you gradually build up your speed/endurance.
Keep in mind that if you really have to struggle to make it, it will be tough to keep that up day after day, both mentally and physically. Actually, that sounds like a recipe for injury to me.
Good luck. Be patient and smart about the attempt.