Yes, but expect to take a while, die a lot, and probably miss many things.
Playing this blind is perhaps the most satisfying way to play this game.
Go for it TC, it can and most likely WILL get frustrating, but the reward and sense of accomplishment is so worth it. Im sure im not the only one that wishes i could be in your shoes.. Experiencing a game this great for the first time. Ive broken the game down to a science in the 8 months ive been playing, beeing able to easily beat NG+ at SL1 is more depressing thsn fulfilling...
You won't miss out on anything that can't later be obtained by backtracking, save for a few events and/or if you waste boss souls. One thing that's very nice to know is shortcuts, and you will of course have no knowledge on where they are or how to access them. Just makes the game a bit longer i suppose, nothing that's impossible though.
Of course it is. I've beaten it without a guide, found the drake sword, got all tail weapons, most gear, discovered the asylum, ash tree lake and painted world (that one only through dumb luck). It's actually pretty easy - just listen to the NPCs.
Didn't save Solaire or finished the Siegmeyer quest, though. Also missed Kirk once and never found the darkwood grain ring.