I had protected sex 2 days after my period ended. Now it's been a week since it finished and I'm bleeding again. Could I be pregnant or is it normal?

This is not likely. To represent pregnancy. It may be break through bleeding related to hormone imbalance. Take a pregnancy test if you miss your period. Take care.
Take a test . If you think you might be pregnant check then check a home pregnancy test. They are cheap, reliable and available at any pharmacy. Once you find out its negative and that you are not pregnant please use condoms and start birth control to prevent these scares in the future.