Answer
No.
Work Step by Step
Her birthday is some day of the year. So $N(E)=1$. But the year has 365 days: $N(S)=365$
Using the Classical Method:
$P(E)=\frac{N(E)}{N(S)}=\frac{1}{365}\approx0.00274$
It means that, if we randomly select 3650 people, we would expect to guess the correct birthday of 10 people.
Thus it is very difficult to guess someone's birthday.
