Yes. The easiest way is to build a new instance of SQL Server. Then as pweegar suggested, copy the .mdf and .ldf files (that's the database and log files) to the new server and use the attach command (Attach database via Enterprise Manager, or sp_attach_db via Query Analyzer). Depending on the severity of the crash, your database may be corrupted or have other problems attaching. Search this and the Microsoft SQL Server: Programming forum for the keywords attach database.
-SQLBill