It will not bring about any problems later. They probably won't even notice it when you do your academic update or send transcripts later for an acceptance.
With these types of scenarios I usually try to put myself in the position of the adcom reviewing the applications. Seeing your update with that P grade is not going to make me decide to accept you post-interview, reject you if you're on hold/review status, or send an interview, it just isn't significant. Can you imagine yourself making one of those decisions based on a singular P grade on some ho-hum non-science course, months after you'd already reviewed your entire package? The only thing that's going to matter during that academic update is that the other real grades are high, that's what they'll care about.