There's no fame for most chefs, but the potential is certainly there. There is, of course, our friend Gordon Ramsay with all the anger management issues. Plenty of others have blazed trails in the cooking industry too, from Graham Kerr, the Galloping Gourmet, in the 1960s to countless others today.
Now that there are multiple food and cooking networks, more chefs are achieving fame than ever before. If you're obsessed with the Food Network, people like Alton Brown, Bobby Flay, Paula Deen, and Guy Fieri are probably your favorite celebrities—nay, your heroes.
Even if you don't end up with your own half-hour program, you can still become famous in your area if your cooking becomes really popular. There are plenty of chefs who draw patrons to their restaurant simply because of their reputation. So yeah, you can be famous. Just enough to be recognized, but usually not enough to be hounded for an autograph every time you go out to eat. In other words, the perfect amount.