Using Bessel function graph to finde out side bands
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