It's unlikely you'll bleed heavily in the hot tub while on your period, but it's possible.
The hot tub's warmth can relax muscles, potentially increasing blood flow, which might lead to a heavier flow.
However, most people experience normal menstrual flow in the hot tub.
You may notice a slight increase in bleeding, but it shouldn't be significantly different from your usual flow.
If you're concerned about bleeding heavily, consider wearing a tampon or menstrual cup for added protection.