Yes... going to school online is realistic while traveling. You might need to manage your bandwidth usage and favor spots with good WiFi if you choose one with lots of video elements. There's also lots of online professors & teachers who are traveling full time, so definitely their students can too!
Just be sure to select a reputable and accredited program, to make sure that the degree you put so much time into is worth something when you're done.
Here's a video interview we did with a fellow NuRVer who recently did an online program to get his certification that you might find useful:
Tacky Texans - Fruitiny
- Cherie