Well you see there is this thing called the AP and Coaches poll. So I guess it is possible. Oh and you should be familiar with the BCS Standing as well. 2003 National Champion split between USC and LSU.

AP Top 25
RK TEAM RECORD PTS
1 Alabama (59) 13-1 0
2 Oregon 12-1 0
3 Ohio State 12-0 0
4 Notre Dame 12-1 0
5 Georgia 12-2 0
5 Texas A&M 11-2 0
7 Stanford 12-2 0
8 South Carolina 11-2 0
9 Florida 11-2 0
10 Florida State 12-2 0
11 Clemson 11-2 0
12 Kansas State 11-2 0
13 Louisville 11-2 0
14 LSU 10-3 0
15 Oklahoma 10-3 0
16 Utah State 11-2 0
17 Northwestern 10-3 0
18 Boise State 11-2 0
19 Texas 9-4 0
20 Oregon State 9-4 0
21 San Jose State 11-2 0
22 Northern Illinois 12-2 0
23 Vanderbilt 9-4 0
24 Michigan 8-5 0
25 Nebraska 10-4 0
Others receiving votes:
Complete Rankings »
USA Today Poll
RK TEAM RECORD PTS
1 Alabama (56) 13-1 1400
2 Oregon 12-1 1322
3 Notre Dame 12-1 1253
4 Georgia 12-2 1213
5 Texas A&M 11-2 1171
6 Stanford 12-2 1167
7 South Carolina 11-2 1064
8 Florida State 12-2 942
9 Clemson 11-2 916
10 Florida 11-2 886
11 Kansas State 11-2 841
12 LSU 10-3 775
13 Louisville 11-2 772
14 Boise State 11-2 633
15 Oklahoma 10-3 600
16 Northwestern 10-3 580
17 Utah State 11-2 444
18 Texas 9-4 398
19 Oregon State 9-4 366
20 Vanderbilt 9-4 248
21 San Jose State 11-2 244
22 Cincinnati 10-3 186
23 Nebraska 10-4 175
24 Northern Illinois 12-2 156
25 Tulsa 11-3 110
Others receiving votes: Michigan 101, UCLA 75, Baylor 52, Oklahoma State 36, Wisconsin 18, UCF 15, Arkansas State 13, Arizona State 10, Rutgers 9, Kent State 5, Louisiana Tech 2, Ohio 1, Arizona 1