Is The Moon Full?

Nope, it is in its first quarter phase.

The Moon moves away from the Earth about 1.5 inches per year. The Moon was about 14,000 miles from the Earth when it was created, but is now over 280,000 miles away.
Although it looks like a half moon, a quarter moon is so called because it occurs a quarter of the way through the lunar month.

4 days and 19 hours until the moon is full again.