Using SQLite to mimic a SQL Server database

I am developing an application that will have both a desktop app and a web app. It has a SQL Server database as the main database. I need a way to cache data on the desktop application in case of network outage. The data access to the server database is through a Web API project, with database first Entity Framework.

Is there any way that I can simply use the generated classes from the Web API project to create a SQLite database on the client machine (at runtime) with the desktop application, or will I need to look into other means of storage?