Yes you can. In fact the moon can be seen periodically at any time during the day or night depending on its location in its orbit.
During the night it is easier to see for two reasons:
Waxing crescent.
The moon phase that follows the new moon is the waxing crescent phase. During this phase, a small sliver of the moon is illuminated on the right side, signaling the beginning of the moon's waxing or growing phase as it moves towards a full moon.
The moon phase between waxing crescent and first quarter is called waxing gibbous. In this phase, the moon is more than half illuminated but less than full.
Just after the new moon is a waxing crescent.
The crescent phase that precedes the new moon phase is called the waxing crescent, where the illuminated portion of the moon is increasing. The crescent phase that follows the new moon phase is called the waning crescent, where the illuminated portion of the moon is decreasing.
Waxing crescent.
The moon phase that follows the new moon is the waxing crescent phase. During this phase, a small sliver of the moon is illuminated on the right side, signaling the beginning of the moon's waxing or growing phase as it moves towards a full moon.
The moon appears as a waxing (growing) crescent for about a week, between the moments of New Moon and First Quarter.
Full Moon -> Waxing gibbous phase -> First quarter phase -> Waxing crescent phase -> New moon -> Waning crescent phase -> Last quarter phase -> Wanning gibbous phase -> Full Moon
It's the waxing crescent or new crescent.
The waxing crescent moon phase occurs between New Moon and First Quarter.
The waxing crescent is the first phase after the new moon.
3/4 of the moon
After a new moon comes the waxing crescent moon phase. This is when the moon slowly begins to show a crescent shape as it waxes or grows larger each night.
The moon phase between waxing crescent and first quarter is called waxing gibbous. In this phase, the moon is more than half illuminated but less than full.
A waxing crescent is the Moon phase where less than half of the Moon is visible and the illuminated part is growing. It occurs right after the new Moon phase.
One is Crescent (waxing), the other is Crescent (waning).