Only as a technicality. If you find a geothermal hotspot and start to extract energy from it, the hotspot will eventually cool down faster than if you hadn't (which of course depends on the size of the hotspot and how much heat you're pulling out).

However, given that there's no downsides to cooling down a hotspot other than, well, no longer being able to extract energy from it, geothermal is a bit of an honorary "renewable".

Actual renewables ultimately all come down to recent[0] solar energy, which will never deplete their source however much they are used. All the energy in wind, hydroelectric and biofuels has recently originated in the Sun.

[0] I say "recently" because fossil fuels are all also derived from the Sun, but their rate of regeneration is a bit too slow compared to the speed at which we use them.