is it normal for my eyebrow to bleed after getting it pierced?

yea but it shouldnt bleed for days so if it does go get it checked

Unless it's bleeding alot to the point it's like running out of the piercing, then it's normal. Most piercings will bleed a little bit a day or two after you get pierced.

You did punch a hole in your body, don't you normally bleed when you get cut?

Well you did shove something through your skin, so yeah, what do u expect!