Is it normal for your ear lobe to bleed about a month after piercing?

A month isn't very old for a piercing. So yes, its probably normal. Especially if you hit or tugged on it. If you're really worried about or if its more than just a few drops of blood, go see a professional piercer to have them check it out. Its really difficult for me to say its completely normal without seeing the piercing/ how much blood there is. If its bleeding profusely, go to a doctor. Good luck :)