Absolutely. You should only store you password database locally, and use a difficult to brute force password as mentioned. Additionally, both KeePass and LastPass offer additional ways of securing your file. KeePass allows using a key file along with a password, for example. Store the key file only on a USB stick (for example) and obviously never on the same device as your password database, and then an attacker will need to compromise 3 things to steal your passwords - steal your database file, brute force your password, and steal your USB stick. LastPass has a variety of multi factor methods, including LastPass app, biometric identification, and working on approved devices only.