Can I actually feel movement at 5 weeks pregnant?

I'm only 5 weeks pregnant and I'm already peeing literally every 10 minutes, experiencing nausea so bad that I can't eat at all until about 8-9pm, and I also have a little bump as if I were actually 3 months. I'm also experiencing restless leg syndrome to the point of tears. And call me crazy but I swear I can feel flutters already. I've been pregnant once before and I didn't experience any of these symptoms until later in the pregnancy (probably until about 12 weeks). Is this normal?