An operator such as the one you describe would be 'unstable', that is to say highly likely to make any test that exercised it fail due to a NullPointerException. So while it might be possible, it probably wouldn't be very valuable. The more useful operators are generally more stable, ie they produce mutants that are harder to detect.
For example, mutating x > y to x >= y, is much more likely to find interesting issues then mutating it to x < y, as the mutant is distinguished from the original program by far fewer inputs.
Henry