Usually, no. Exposure compensation is mainly for correcting the meter, not for forcing mood. If the scene contains bright sky or other tones that bias reflected metering, then compensation may help. But for a normal overcast scene without unusually bright elements, the camera’s metered exposure is generally the technically correct starting point.

If you want the final image to feel darker or moodier, it’s often better to capture a solid exposure first and then darken in post. That preserves more shadow information and better signal-to-noise than intentionally underexposing in-camera. Negative compensation is most useful if the metered exposure would actually risk clipping highlights or force too slow a shutter speed.

If your goal is an out-of-camera look, then dialing negative compensation for artistic effect is perfectly reasonable. Just recognize that this is a creative choice, not a universal rule for cloudy days. Also remember that reflected TTL metering can be misled by scene brightness; an incident meter avoids much of that issue.