I think the question is perfectly clear. bgc99 wants to measure the current draw of the phone handset and has described how to do so.
Yes, the method described will do this, with the proviso that you must consider the burden voltage of the meter. When on the mA range the meter will insert a significant resistance into the circuit that will likely reduce the current. I would recommend you conduct the measurement with the meter on the 10 A range if it has one. The 10 A range usually has a very low resistance.
(You won't do this of course, but never connect the meter directly across the wall wart terminals while set to a current range. This will short circuit the wall wart and may blow the fuse in the meter.)