Yes, security or damage deposits are refundable so long as they aren't used to cover the costs outlined in the lease agreement. Landlords should provide tenants with a receipt for the security deposit and any other refundable fees that are collected, however, this isn't required by law.
All security deposits that are collected must be held in an interest-bearing trust account and deposited within two days after the payment is collected. Any interest that is accrued on the deposit must also be returned to the tenant. The full amount must be returned to the tenant within 10 days of the end of the tenancy, or a written statement of account must be provided if the landlord plans on deducting from the deposit.