Not at all. There are several factors that come into play with your first job, including internships and nepotism, but in the business world, your school's name can get you into the door to a lot of companies, for at least an interview.
I'm pretty fresh off the scene, going to law school here in two months because I didn't see a future in sports marketing, but I can tell you for a fact that all of the recruiters I talked to placed an emphasis on your education (ie: where you got your degree from).
Especially in the world of finance, certain firms won't even look at someone without an Ivy League or comparable education. Your school's reputation could absolutely separate you from the pack, and to believe otherwise is just holding on to antiquated notions of the job market from when you got your first job.
Now what you do when you actually get your first job is a completely different situation, but in getting that first job, or at least that first interview, your degree is half the battle.