Well, I tell ya. I first felt my baby move at 20 weeks. You don't feel pregnancy right away. Nausea and vomiting typically starts for the average woman around week 6 to 7. You don't use protection when you have sex? Unless you want to get pregnant, you should. Anyway, if you are late for your period and it sounds like you are, take a test. It's the only real way to know. Let us know after you take the test.
You might be pregnant or you might not, but the fluttery feeling will not be a pregnancy in only your sixth week.