Story of my life right here.
All joking aside, yes, I'd say it's generally pretty normal to have feelings like this from time to time. I'm entering a similar point in my life right now too, in regard to school and planning for life outside home. The pressure is immense, but I feel almost certain that the work I am doing now will help me prepare for a more comfortable future. The time you're in right now is serves as one of the largest transitional periods you'll undergo within your life, so even just the mere thought of moving out on your own can be daunting.
It's important to try and keep your chin up during times like these. I am not nearly as wise as the others on this board, so I cannot speak from any particular experience. Just be sure to always ask for help when you need it, and know that your efforts are not going unnoticed.
Best of luck as always, I'm positive you'll get through this!