A chromosome is determined to be metacentric, acrocentric or
telocentric by the location of its centromere. Centromeres are the
point of attachment of two sister chromatids. Sister chromatids are
formed during DNA replication prior to mitosis or meiosis.
Chromosome Y by itself (when it is not replicating and there are no
sister chromatids) is not acrocentric, as it wouldn't even have a
centromere location.