There is no built-in way. You can have MyClass implement the IClonable
interface (but it is sort of deprecated) or just write your own Copy/Clone method. In either case you will have to write some code.
For big objects you could consider Serialization + Deserialization (through a MemoryStream), just to reuse existing code.
Whatever the method, think carefully about what "a copy" means exactly. How deep should it go, are there Id fields to be excepted etc.