That cannot be done and shall never be done. If the humanity can live in stars after 200 years in the future, why can't the human simply locate Kabba with the given technological advancements?
Imagine that Pakistan ha sa research station on Europa. The Europan west at prayer time is facing 145 degrees off Terra's rotation at the same time, add to that is the fact that Jupiter is between Europa and Jupiter and the earth are also on opposite sides of the Sun.
You can pray to the west, or towards the general direction of Kabba if your handy dandy prayer-finder computer program can locate it but you can't do both. Seems easier to simply mine Meccan sands and send them out into space to create a Kabba counsulate so to speak.
Also can you use long term preservation of Hala foods?