Simple answer: yes, I'd say it's normal.
There are various ways of managing stress apart from professional intervention such as talking to a counsellor. Breathing deeply and regularly (even just focusing on your breathing) might help. I also heard of one that I've used before which is breathe and when you exhale picture yourself sinking into the ground with each exhale. It seems to help. A to-do list with priorities might also help you to know what you need to do when and so forth, thus making it less of a cloud of stuff to do that feels a little smothering. If you're finding yourself uptight and tense consciously try to relax your muscles, maybe.
I hope these few suggestions help. There are more, but these are my main ways.
Oh, and if it's worth anything, I find cuddling a fake baby as I'm doing right now really helps to relax me. But that may be just my midwifery side.