Am I further along that I think?

This is my first, so of course I am full of questions. My first OBGYN appointment is the 20th of May. Is there a possibility that I could have been pregnant during my last period? I know that’s not necessarily a far off thing and it can occur. Technically today, I am 5 weeks. I got a SUPER positive test 6 days before my expected period and my symptoms are REALLY strong. That may also just be a thing, I know every pregnancy is different for everyone.

I don’t want to come across as completely ignorant to this but let’s me honest, I am!! Lol. I’m a new mom and I’m trying my best to read and learn as much as I can!!

So, I guess what im saying is, is it normal to get a super super positive before a missed period? Is it normal to be very sick at 5 weeks, very tired, having period like cramps (all day long but nothing too serious as far as pain) and have excessive clear discharge that early??