It should be possible to stick data centres were power sources like geo-thermal and solar heat can take up the bulk of the strain.
Solar, no due to its diurnal variation. You could "daylight shift" round the globe, but the economic and environmental impacts of server under-utilisation would make no sense. And if you build where solar has the best performance (closer to the equator) you have much greater cooling costs.
On geothermal, maybe, but as a rule you've be supplanting existing uses of "easy" geothernal, so the net gains could well be nil.
The real answer is low cost nuclear. Bit in the UK we don't have that due to a bizarre decision to select the unproven and wildly expensive Areva EPR.