No. "New moon" is just the night side of the moon facing us. A lunar eclipse is when the Earth blocks sunlight from the moon, which can only occur on a full moon approximately every six months.
A new moon is when the moon is between the sun and earth. A full moon is when the moon is behind the earth, and a lunar eclipse is when the earth blocks the sun on the moon during a full moon cycle.
Solar eclipse is when the moon is between the sun and the earth. Lunar eclipse is when the earth is between the moon and the sun. A "new moon" is just when the side of the moon that we can see isn't facing the sun.