No, you can only see annular eclipses of the sun. We see an eclipse when the sun, earth and moon are all in a straight line. If the moon is between the sun and the earth, it's a solar eclipse. When the earth is between the moon and the sun, you get a lunar eclipse.
By a fluke of nature, the sun and the moon appear almost exactly the same size in our sky, so that the moon just covers the sun's disk during a solar eclipse. If the moon is at apoapsis (the farthest from the earth in it's orbit), it's a little too small to completely cover the sun, and so you get an annular eclipse, where you see the moon outlined by a ring of the sun's visible disk.
The earth appears much larger in the lunar sky than the moon does in our sky. When there is a total lunar eclipse, the earth is always big enough to blot out the entire sun