Redirect to one of multiple URLS (round robin)?

Is it possible to give Redirection a list of multiple URLs to “round robin”?

For example, if I have mysite.com/random configured as a redirect, and then I’d like to put in othersite1.com, othersite2.com, othersite3.com in and have it either round robin or simply randomly pick one each time and send the user off.

Is that possible?

Thanks!