Re: No.
Use a player that can deal with an http transport stream, say VLC, and feed it directly from BBC's CDN.
Or if you're on any sort of Unix terminal, something like the following works:
wget -O- "http://bbcmedia.ic.llnwd.net/stream/bbcmedia_6music_mf_p" | madplay
If you like 6 Music, FIP https://www.fip.fr plays an arguably better selection with almost no breaks at all.