Can I put +33 dBm through an 0402 capacitor/inductor?
Let's start by looking at an equivalent capacitor, whose datasheet actually gives some useful info, the GRM1555C1H330JA01D.

The first plot is impedance versus frequency, and the minimum value, where capacitance and parasitic inductance cancel out, is the ESR, about 0.2 ohms.

More useful for power dissipation concerns is the last plot, of temperature rise versus current. At 1 A RMS, the temperature rise is already at least 25 degrees Celsius, so over 6 A would result in exceeding the rated temperature of the capacitor.