No. The moon is drifting away about 4 centimeters a year. Over time it will drift out to space and Earth will have no moon.
Of course, the sun might become a red giant before that, killing everything, but the answer to your question is no.
As a result the tides will become less severe.
However, as the climate warms and the ocean rises as much as it is now, cities and communities near the sea will become flooded. This has nothing to do with the moon.