Yes. When you click the "QUOTE" button to reply, the quoted post is shown. It can then be edited in any fashion (e.g. -- as I did to your post here -- shortened to show only the part to which you are referring), including totally changing the original poster's words. So "quotes" are not always quotes.
Though its good form to put the term "edit" in there, if you have actually edited the material being quoted.
I realize this doesn't always happen, and some may not even realize that they should.... but they should. A quote is a quote until someone changes it. (Unless you're in politics, and then all bets are off.)