There have been ongoing speculations and rumors about Meghan Markle’s intentions and her relationship with the British royal family, particularly with Princess Kate (Catherine, the Princess of Wales). As of my last update, there hasn’t been any confirmed or official statement from Kensington Palace suggesting that Meghan Markle is seeking Princess Kate’s position. The royal family generally keeps its internal affairs and dynamics quite private, so much of what circulates in the media might be speculative or sensationalized.

If there are new developments or statements from Kensington Palace on this topic, it would be best to refer to official sources or recent news updates for the most accurate information.