A Bad Idea All Around
While we understand that the OP may crave some personal time, it's crucial to recognize that if their partner discovers this deception, they might end up with more alone time than they bargained for. So, OP, why not have an open conversation about your need for personal space with your significant other?
Moreover, consider that maybe your partner also longs for a 'me-day' but can't have one because you've unilaterally taken a day off while they fulfill their responsibilities. Have you ever considered that perspective, OP?