It's statistically possible for someone to be born and die on the same day of the year. This is because birthdays are not evenly distributed throughout the year. While some days may have more births than others, it's likely that there are enough births on any given day to statistically ensure some people will also die on their birthday.
While this is a statistically possible occurrence, it's relatively uncommon. There are many documented cases of individuals who have died on their birthday, but it's not a frequent event.