The current GSM-R can't do this - it's effectively 2G mobile (remember that?) with some extra bits attached specially for the railways. Some countries have deployed a 4G system and the UIC is working is on a 5G version, but it'll be a long time before we see one of them here.In a conversation with him, much like this one, he was saying how GSMR had the potential to provide essentially office broadband speeds to trains, nationwide, in tunnels/remote areas etc. Would require an upgrade that would apparently not be too cheap, but the potential is there. Someone will probably have to explain the upgrade required!
It's all a moot point though because nobody at NR is going to want to piggyback public access onto a safety-critical system, especially given that the GSM-R system will become increasingly vital to operations as the ERTMS rollout continues (because ERTMS uses GSM-R data connections to transmit movement authorities to trains).