Yes, but then we wouldn't see the corona.

So they'd happen, but wouldn't be nearly as spectacular.
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That’s the annular solar eclipse, when the moon blocks out just the mass of the sun, and not the corona.

Which is, IMO, the coolest part about the whole β€œwe’re alive at a time when the moon is that specific distance from Earth for that to be possible” thing.
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An annular eclipse is when the moon is totally in front of the sun, but not completely covering it.

As the moon moves further from earth, we'll actually get more of those, AFAIK.

Because of the perfect distance ratio, you can still see the corona even with a total solar eclipse.
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