Which red marks and what type of bumps do you mean?
If you are refering to "chicken skin" which are the rough patches of bumpy skin on the back of arms, legs/thighs, butt and where ever else people can get them, then i'd say no. I'm not sure what gets rid of those.
On the other hand, i have used aloe vera on sunburn, pimples, after waxing and as a light moisturiser in the summer time and it's very refreshing. That's my experience anyway.