Yes.
Coil whine is caused primarily by a section of circuitry that involves relatively large inductors and capacitors. The frequency of the noise, and as a result whether or not you can hear it, depends on the value of these capacitors and inductors.
One problem that still plagues modern electronics is that electrolytic capacitors dry out and their value changes over the course of their lives. Even dry ceramic capacitors slowly degrade and can even change value when they are warmer.
Inductors are basically small coils wrapped around and tend to be glue filled. As glue ages in a vibrating environment it breaks down and crumbles and the coil can become loose.
Between these two things the frequency of the noise from this circuitry can shift over time, moving down into audible frequencies, or become louder. A warmer inductor might also have a package that expands slightly more than the coil it encloses and as a result creates a small gap that acts like an echo chamber.
"Wonky" electrical supplies can also cause component degradation and failure and can provoke early failure of all the circuitry in this area.
If you can pinpoint the source of the noise you might be able to, for example if the noise is from the power supply itself, replace the part before it goes too far.
In your case I would suspect is is a mixture of all of these effects.
