yes, is possible to calculate the wire temperature in base of this electrical properties.
For do this, you need to measure some properties in two points in the same annealing line. Basically, with the electric resistance of the first point (calculated from the amp and the volts of the line) and the temperature of the first point (ambient temp) you can calculate the resistance of the second point, and with this, the temp.
You can found the basic formulas in the nonferrous wire handbook.
Best regards,
Victor Mendoza