Multimeter with induction measurement capability are rather rare, i don't know any at least from the major brands.
In my opinion your are better off with an separate LCR-meter (even a cheap one), especially with low value capacitors (<10nF) and inductors.
I assume you want to use the meter for measuring the components off your matching circuits, because for measuring your antenna directly a Networkanalyzer would be the right type off gear, but not in the budget of the most hobbyist i am afraid.