The short answer is NO, absolutely not. The long answer is no, but it may take a small amount of manual work on your end. It rather depends on where you are currently hosting your podcast.
Simplecast makes it incredibly easy to import your current podcast, including your media files, directly into our system using only your current RSS feed. However, once that's done, you'll need to update your existing RSS feed to either refer to or redirect to your new Simplecast RSS feed. Most services offer this redirect, though sometimes you need to ask nicely.