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No. However, the Saros is a period where two similar solar eclipses appear (every 11 years). Also, solar eclipses can happen twice per year, however it may be very uncommon in various regions.

Also, the sun itself does not eclipse. It is not a property of the sun that causes an eclipse. The question is asked in such a way to imply otherwise. From some arbitrary perspective (not necessarily on the surface of Earth), the sun can always be eclipsed by something.

The sun and the moon pass each other in the daytime sky once per month (by definition), but they have to actually overlap for an eclipse to occur, and this happens at very irregular intervals, and while they can be charted in advance, there's no regular mathematical pattern to them.