Anyone know is it possible to get data from sites that use flash using LWP?
LWP doesn't "get sites". It performs HTTP requests, HTTPS requests, etc. It can perform more or less any HTTP and HTTPS request a browser can make, include those that get .swf files.
Any way to make lwp fake it is flash enabled browser?
I don't see why an HTTP server would care about whether a client is "flash enabled" or not, but it's not outside the realm of possibilities. If you're dealing with a server that makes that determination, you'll have to tell us how it makes that determination since HTTP doesn't provide a builtin means specifying this. If it's based on the agent string, you can tell LWP to use the same agent string as the browser of your choice.