That's not a "relaxed pace." That's screaming fast.
If you rode hard every day and all day, had no major health or mechanical issues, didn't find anything interesting to pay attention to along the way, and flew your bike instead of shipping it around the Gap....then yes, you could probably do it. Most here would wonder why you bothered. Why not just fly the bike directly to South America and have yourself a nice motorcycle journey?
Taking a boat might take a day or a week to arrange, depending on everything. The boat itself will usually take three or four days, although there's at least one exception. This might account for your whole two weeks if you're not clever, careful or lucky.
Hope that helps.