It’s possible.Since this Enterprise doesn’t have a Holodeck, this was an interesting equivalent means of going into the story that Dr. M’Benga reads to his daughter.
Could the entity be related to the one who has kept Cochrane alive?
Regarding your pattern buffer comment, there would have been no time to get back to Enterprise,And, without going into Foxbat's spoiler, I'll only mention that we seem to be losing major crew members nearing the end of season 1. Who knows if they'll be back? Well, one presumably will not be back.
And one thing that drives me CRAZY with all of these Star Trek shows is this. They solve a problem using some novel technique, such as the medical transport buffer. And in the next episode, when the medical transport buffer would solve an even bigger problem, all of a sudden, nobody remembers that. Isn't anybody writing the screenplay in charge of remembering things like these?