Yes. Just as your renters' policy protects your belongings when you travel, when they are kept anywhere other than your own home, it will usually cover them. However, you could have less coverage (typically limited to 10 percent of the total value of the personal property on your policy) for belongings kept off-site. You will need to increase your personal property cap, accept a separate policy, or obtain protection from your storage rental company if the belongings in your storage unit are not covered sufficiently.