Can the Moon be given an earthlike atmosphere?

I believe you meant to say "centrifugal" (as in 'centrifuge') instead
of "centripetal". Earth is 1 gee centripetal. The atmosphere is not
enclosed.

Another advantage of enclosed orbital colonies over the lunar surface
is they can be placed well within the Earth's magnetosphere and thus
protected from charged particles from the solar wind and extra-solar
sources. The Moon has little or no magnetosphere.