As long as you've got a large suitcase, maybe an additional backpack, and can get to a train station easily you shouldn't have much problem as long as you try to limit to the necessities.
For reference, I make the trip to uni and back about every 3 months with just a large suitcase and a backpack, and I can fit more than enough clothes to regularly wear, plus all my notebooks and maybe a couple textbooks, some snacks from home, my laptop, my little desktop, some other sentimental stuff. It's no problem. On my way to the airport from home I need to be dropped off by my parents (though I guess in your case you would be taking the bus or taxi), and on the uni side I just walk from the train station because it's only a 20 minute walk, not too bad even with all my stuff.