No, I don't think so - at least, not from the sites I saw. The Progressive Caucus has been around for a long time. The site from the google cache (plus a couple of others I looked at) seems to indicate that the DSA more or less lobbies the Progressive Caucus on their issues. Kind of like NOW lobbying the Women's Caucus (ok, not exactly, because the WC includes ALL women, not just the feminist women, in Congress). Or the Libertarians lobbying the Conservative Caucus.
I don't doubt that Pelosi agrees with many of the positions of the DSA, though. But Progressives are NOT the same as Socialists. Similar, in that progrogressives want to "socialize" certain specific "universally needed" services like health care and education. But Socialists want to socialize ALL businesses, and as far as I know, progressives don't -- just ones that provide critical services to all (or at least, most) citizens.
On a personal note, I'm kind of surprised to see I can still get in here! I did try to register once before (several months ago) and my account was shut off before my I could even post. Could be because I used the screen name "EvilDUer" huh? Anyway, I just wanted to say that I'm not here to argue my beliefs, I just wanted to answer your post. I realize this is a board for conservatives to have their own "space" - a haven where you can let your hair down without being "assaulted" by arguments from the other side. After all, there are plenty of places you can read the other side's opinions. Of course I might just be projecting... I don't really know how you all feel about it, I'm just guessing it's the same way we feel at DU.