Yes, you can still test for STDs or STIs during menstruation (whilst you have your period).
Our HIV, Syphilis and Hepatitis B tests use a small drop of blood taken from a finger and would not be affected at all.
Our Gonorrhea and Chlamydia tests use a swab. Even doing a swab test for these STIs while you’re having your period is no problem.
Regardless, you might feel more comfortable waiting to perform the tests until after your period has ended.