Did shakespeare really write the prologue to Romeo and Juliet There is some question about the authorship since it doesn't appear in the Folio of 1623?

It is true that the famous prologue does not appear in the Folio version of Romeo and Juliet. It does, however, appear in the Quarto versions of 1599, 1609 and 1622 in the form we know it, and in the first Quarto of 1597 in somewhat garbled form. In all of the Quarto versions, the Prologue is printed on a separate page before the play starts, and the printer may just have missed it when setting the type. I've included a link to a facsimile of Q2 so you can see what I mean.

Since it is included in all Quarto versions of the plays, and the prologue to Act 2 is not omitted in the Folio, it's probably reasonable to assume that the omission of the general prologue is a printer's error, and was a genuine part of the play.