A quick survey of the ffxiv bot providers out there (who have been open for business since september, have youtube commercials and all) reveals no gathering bot with that capability.

Theoretically you could use a memory controller in conjunction with a gathering bot, and the weird marriage may cause a locked-in miner to somehow change locations during a mining attempt.

I have yet to find real evidence of that distance hack that some of these bots seem to have though, and we have visual confirmation of that.