Honestly, no. If I was a new player I'd wait until the proper expansion to see if that makes it easier to get into the game.
Longer you wait, worse it gets imo.
The only thing that will ever change is there will be more content, and more people will have collected more content. Waiting for a proper expansion just means there's ~550 cards to get instead of ~450. And another 10 legendaries you don't have that everyone else will get easily, because they've been saving money and already have collected all the existing ones.
In 6-12 months from now, it's likely you'll see rank 20 matches full of legendary quality netdecks, and even more adventures that need 2000+ gold to get through in addition to Naxx.
People still bring brand new accounts to legendary rank with no money every week. It's just a matter of working with the cards you have and accepting you won't win all your games. Which is something that never will happen, ever. Even if you only win ~2/5, that's still not bad, slightly below average. If you're winning 1/10, you probably need to just work your deck some more.