Yes you can have red poop from eating beets and it's caused by the presence of beetroot pigments in your poop.
The term for this is beeturia and around 14 percent of people in the world experience blood looking poop when eating beets.
Beeturia can sometimes be a sign of iron deficiency in some people although most time it's harmless to see bloody looking poop from eating beets.
It's normal to have bloody looking poop when eating beets but it's not normal to have actual blood in your poop.
If you have actual blood in your poop then you should see a doctor.