Not really. If you calculate the power consumed at that particular volume knob setting you can double that power value and there will be only a 3 dB increase in volume. Even though it’s twice as loud it is almost imperceptible to our ears -- at least 6 dB increase in SPL will make it noticeably louder, which would be quadrupling that calculated power.
A slightly more accurate way of determining how much power is enough is to use the speaker’s sensitivity vs listening distance with an SPL meter. For example, if you sit 4 meters away and you tolerate a maximum of 90 dB peaks, that calculates to 102 dB at a distance of 1 meter from the speaker (halving the distance is a 6dB gain). If the speaker has a sensitivity of 90 dB at one meter, then the power required to raise it 12 dB at one meter is 16 watts (90 dB/1w, 93 dB/2w, 96 dB/4w... ).
However, that would be in a theoretical room. Real rooms have things in it with absorbing and reflecting surfaces that throws a wrench in those calculations. Best go by the speaker mfr’s power rating limits.