No. Our own solar system is very young in universal terms. There has been billions of years for older civilizations to exist.

Furthermore, only the farthest galaxies are that old, and we can’t see beyond the CMB (300,000 years after the BB). Note that the first stars did not form for hundreds of millions of years after the BB.

Plus your comment only applies to the furthest away galaxies. The closest star to us (other than our sun) is a scant 4 light years away.