Nitish,
I don't think you really explained the problem you are having. There is nothing in go that prevents you from running multiple instances of an executable, hence creating multiple processes running the same program. You can simply open two console windows and start the same long running go executable in each. So without more information your question seems like a trivial "yes".
Of course. if your program (service) uses a shared resource, such as listening on a specific ip and port, then you could have a contention problem. But to solve that would require specifics of your service, and the problem you are having getting two of them to run at the same time.
- Jake