Technically, no - a windows service has - and can have - no user interface at all, so even the console is out of bounds.
But ... depending on what your app does, and what use it makes of the console it should be possible to rewrite it to be a service. How difficult that process is will depend as usual on how well written the app was in the first place... :laugh:
This may help:
Creating a Basic Windows Service in C#[
^] - it's oldish, but still good.