I get so many nosebleeds while I'm at work. Is this normal?

Yes and no. Nose bleeds are very common. Are they normal? No, because not everyone gets them... But they are very common: see https://www.Healthtap.Com/user_questions/50655.
Dry air. Nosebleeds at work could be to to the environment if the air is dry. The dry air may cause the lining of the nose to crack and bleed.If this persists, see your otyolaryngologist.