Not really. NASA generally goes with what appears most "credible" to them within the cost cap. The most important factor in credibility is matching their detailed estimates of costs, created using "parametric" methods. These methods take historical costs into account and then allow for inflation. Imagine estimating the cost of a computer by scaling from an IBM 709, assuming every performance enhancement costs money, and multiplying by inflation. Then, you refuse to try anything cheaper, because it's "risky".
The result? The bidder must propose not only a high price, but must justify that price based on costs. You must demonstrate the ability to put together and manage very inefficient processes. It usually doesn't even help to have done similar jobs efficiently: the cost "experts" don't find actual experience in conflict with their databases to be "credible". Their databases are full of previous examples of projects approved and planned with the same methodology, so the reasoning is almost perfectly circular.
Historically, nobody has been able to develop an orbital launch vehicle without government subsidy, so this credibility problem has been an impenetrable barrier to exploiting real high tech methods, where deflation, not inflation is normal. But Musk has deep enough pockets, and a talent for PR that has made it impossible to dismiss the success of Falcon as an aberration.