No.
There are phases because only half of the moon is ever lit by the Sun (the Moon doesn't rotate, so it's always the same half that faces Earth but different halves are illuminated due to the orbit of the Moon around the Earth), and as it orbits the Earth, we can see different parts of the illuminated section.
Everyone that can see the Moon at a single moment in time sees almost exactly the same phase.There could be a slight difference due to observers looking at the Moon rising and setting from different parts of the Earth separated by the Earth's diameter. This provides a difference and that difference is so slight that it takes a very good telescope indeed to note it.
See related link.
In the new Moon phase.
New moon
the new moon
Full Moon
The new Moon "phase" is when the Moon is (more or less) in front of the Sun. We cannot normally see the Moon in this phase. If the Moon is exactly in front of the Sun, the Moon covers the Sun and we see a solar eclipse.
We see the full moon {the phase}.
In the new Moon phase.
Where I live, there is a distinct no-moon phase. Thus I cannot see any new moon within the old moon.
The phases of the moon? Well as the moon revolves around us the sun shines on it differently causing different phase.
New moon
After a week from new moon, you'll see a half moon. This is more correctly called the First Quarter phase of the Moon.
the new moon
Two weeks after the waning gibbous phase of the moon you will see a new moon.
new moon
Full Moon
Full Moon
full moon