You can have some vaginal bleeding when pregnant but NOT a period. A period is the shedding of the uterine lining and unfertilised egg each month if pregancy has not occurred - hence why you cannot have a period when pregnant.
You can get your period and be pregnant. It is very possible. Take a test if its negative give it some time you keep feeling that way go to the doctor.
You cannot be pregnant and still have periods. Most likely it's something else that's causing your periods to come later these past 2 months. Of course, there is nothing to stop you taking a pregnancy test to see what it says, but like I said - it's very unlikely you're pregnant since you're still getting your period. Symptoms don't determine a pregnancy. They can be symptoms of so many other things as well.
How late was your cycle? If it's been doing this past 2 months then maybe it's just your period has a new 'cycle'. That can happen from time to time for no reason at all.