No, it is not possible.
According to the question, if you examine any 1 mile stretch of the race after the race is over, it must have taken Daphne 8 min 1 sec. That would include the mile starting at 25.2 miles and ending at the finish line. Daphne must also be 1 second slower per mile in that mile. The same is true of any 1 mile stretch you might want to propose that she might run like a cheetah.
I hope this helps,