Is there a LEGO Tyre Shop set?
Assuming you are asking for a set that has play features resembling an auto mechanic's shop, then you have a few options:



The closest is probably 1966 Car Repair Shop.



1966 Car Repair Shop is a 1985 set.  It does not feature a lift, but it does have a jack, and includes a wrench (and other play features) that simulate a mechanic's shop.



Another good choice that's still in production is 4207 City Garage 



City Garage has an elevator lift (no mechanic access underneath it), and it has a mechanics shop, including spare tires and tools to work on the cars.  However, it's not as "good" of a shop as 1996.



Lastly, if you're ok with Duplo, the closest set is 3619 Traffic City.



3619 Traffic City features a real working lift and mechanics shop.  However, it also features other play features like 4207 City Garage.