Yes you can become pregnant 5 days after your period.
But the best time to get pregnant is right after your period since you're most fertile right after your period and up to 11 to 14 days after your period.
The longer you wait to try to become pregnant after your period the less chance you have of being becoming pregnant.
However you do stand a good chance of becoming pregnant 5 days after your period so you can try then as well.