Yes, but finding a rental may be more difficult. Many landlords are not interested in renting to tenants who have been previously evicted. Some landlords offer to rent apartments without background checks, while others may be willing to understand the circumstances that led to the eviction and give you another chance.
Getting good references from previous landlords and asking a family member to co-sign on the apartment may help you find a new rental. If all else fails, you may want to look for a roommate or live with friends or family members while you rebuild your credit.