Yes, a landlord can sue a tenant for damages that exceed the amount of the security deposit. If the cost of repairs for damage to the property, unpaid rent, or other lease violations surpasses the security deposit, the landlord may pursue legal action to recover the additional funds. The landlord would need to provide evidence of the damages and their costs as part of the lawsuit. It’s important for both tenants and landlords to document the condition of the rental unit at move-in and move-out to support any claims related to damages.