No, but neither could the person who figured it out in his day and age. He compared several of the pages layouts to figure out the book, then ordered a physical copy (there's two different ones they use in the show, he got copies of both). The title is pretty prominently displayed as well there, in case you missed it.

"The Globe Illustrated Shakespeare"

I don't want to link to Amazon, but it's easy enough to find. It would make sense of Picard to have it, since he's into Shakespeare, but the reason he is into Shakespeare is because Patrick Stewart is. And it'd make sense that when they want a prop book, they'll use one with him in it, which he probably may have provided himself. I mean, I don't think he did, but I would not be surprised. Not like he's egotistic in any way, just whimsical.

So if someone actually watched the shower intensely back in the 90's and went into their library to see if such a book would be available, they maybe have found it, and been pleasantly surprised to see Patrick Stewart in there. The book was like 20 odd years old at that point. (Or at least the photo of PS is, the book must obviously be at least a bit younger)

It's not much different than modern Marvel movies talking about movies which feature same actors as in the movie. Hardly a big thing, sometimes done on purpose (Deadpool absolutely bashing on Green Lantern etc) and sometimes just because they want to mention a thing and it just happens to be a franchise with some of the same actors as Marvel is pretty big and has all the actors.