|YES !! There is a fast setting thinset that takes only a few hours to cure.
Here is one manufacturer:
Fast Set Thinset is a Portland Cement dry set mortar formulated to produce a rapid set time when installing
ceramic, mosaic, pavers and quarry tiles. Fast Set will allow grouting within two to four hours and open to
traffic within six hours.
FAST SETTING POLYMER-MODIFIED THINSET MORTAR
For installing ceramic, porcelain, quarry, marble, pavers and other natural stone tiles on floors and walls.
Super-Tek Products, Inc.
25-44 Borough Place
Woodside, NY 11377 USA
Telephone: (718) 278-7900
They both have the same time specs and will allow grouting after a few hours and traffic after 6 hours. Your local tile supply house should have something similar. Read the label carefully. Make sure you use the correct material on the floor under the tile. You also have to work quickly because the mixture will start to be unuseable in like 15-20 mins, so small batches are a must.