Is there a temporary fix for a broken thermocouple?
If you have one of the exposed Type K thermocouples you can break away some of the ceramic at the end and twist the two wires together. Or you can use an acetylene torch to reweld the tip (using Borax to dip the hot tip into afterwards to prevent undue oxidation). This may get you by for a little while. There is no way to repair one of the industrial metal sheathed thermocouples.