To accomplish this, you would need a high-resolution timer that runs before the operation, after the operation, and then you can subtract the two and wait. And maybe that might work.
But you're not running in kernel space.
The resolution of timing information you'd get from this tactic would be noisy, and may reintroduce the signal you were trying to hide. Especially if you're running on multiple threads or physical processors, and aren't careful enough to constrain the operations and timings to the same core.
All it will do is slow your software down and maybe not actually help.
And that's the best case scenario!
Better to just use constant-time algorithms.