Yes, you can open your databases on many different platforms. Depending on whether your database is in Password Safe or KeePass format, you can find a client that is compatible.
For the Password Safe format, here is a link to a short list of compatible clients, you can probably find many more with a search for ‘Password Safe client for [insert platform here]’.
For databases in one of the KeePass formats you can find many clients here:
Strongbox is only available for iOS and Mac at the moment but there are many clients for many other platforms available as you can see from the above.