The team behind OpenMapTiles started to work on global satellite tiles too.

See https://openmaptiles.com/satellite/. Next step is merging in very detailed aerial photos for US and EU - often with 1m or 25cm/pixel resolution.

It is going to be available for both self-hosting and as part of the hosting platform https://tilehosting.com/

Depends on what your definition of "free" is - beer or liberty? There are some free-as-in-beer satellite providers, but none that are free-for-anything - e.g. ESRI is freely available for OpenStreetMap edits, but probably not for commercial use: https://wiki.openstreetmap.org/wiki/Esri

Simple answer is no. But it depends on what you consider high-res, ESA does provide live feed out of they one satelite snd you might use those for constructing your tiles, still it is nowhere close to off shelf solution.