Yes. Assuming your modulating function is sinusoidal, you can simply read the amplitudes of each sideband pair from the graph. So for a modulation index of 2, following the yellow curve \$J_2(x)\$, you can see that the amplitude of the second sideband pair (fc ± 2fm) is about 0.3 times the amplitude of the unmodulated carrier.
In general, for a modulation index of \$\beta\$, the amplitude of the nth sideband pair is \$J_n(\beta)\$
Wikipedia has a useful table of Bessel functions here, from which you can see that the amplitude of the second sideband pair is actually about 0.35