Consider the case of a tidally locked planet: its axis of rotation must be perpendicular to the plane of its revolution around the parent star. Therefore, no precession.
It is possible for a planets to have a precession period that is the exact same time period as the planet's solar year, such that the planet rotates however its seasons never change? One pole would be in perpetual sunlight (starlight) and the other in perpetual darkness.
I am aware of the physical mechanism which causes stable tidally-locked planets, however could there be a physical mechanism which would cause a stable precession-year ratio of 1:1?
I am interested in the subject for the dual purpose of better understanding precession, and additionally as a plot ploy in a short story that I am authoring. Therefore answers which tend towards either or both of those goals are most appreciated.