It depends on what you mean. The background maps, which are images, can't be transfered to the 705. The 705 (and most other Garmin GPS units) are designed to display vector maps, not images.
There are a few tricks that people have pulled (like a util called MOAGU), but in my experience the process is long and the results not very usable.
You can upload a track (or a course) and have it available on the Edge to show and follow. This you can do with TopoFusion itself.
Does that answer your question?