Yes you can

When I had my surgery I was on CD 5. I was still bleeding and that was fine.

I consulted two doctors for my surgery. One preferred me to be on my period so the endometriosis would be most visible. The other wanted to do it just before my period bc she thought it’d be too inflamed. I went with the second doctor. Seems like it might just be a personal preference so I’d ask your doctor.

Mine didn't want me on my period. But probably because it would be messy since they also did a hysteroscopy. I was on cycle day 6 for mine, but was SUPPOSED to be on cycle day 3. He said light bleeding was fine, but would've had to reschedule for days 1 or 2 of period.