Generally, no. Devices like the Pantone Huey Pro measure your display and build a profile based on the calibrated result. The ICC profile describes the monitor in that corrected state, and the calibration part (often the video card LUT adjustments) is part of what makes the profile valid.

If you disable the correction, the monitor is no longer in the state the profile was made for, so color-managed applications cannot rely on that profile to display accurate color. In other words, the profile and the correction are meant to be used together.

If correction causes visible shifts with screen angle, that points to the display itself changing with viewing angle rather than a profiling issue. A profile cannot fix that behavior when calibration is turned off.