Only if you bid on the same houses. Bid on a smaller house.

Don't forget too that inflation works for you! If you save and get in a nice house early and the STAY THERE (I can't emphasize enough how important this is - sometimes life forces you to move, but avoid it), your payments measured against inflation will go down - just put that difference into a 401k (that is don't do a cash out refinance along the way as so many do) and in 30 years the house is paid off and your have a great retirement account.

When you are in the early years the above plan looks impossible, but time is your friend.