Yes. Several species of primates, when housed together in captivity have bred and created hybrids. However, in the wild this occurrence is very rare and generally happens between the smaller species of primates. Large primates have crossed though, but risk sterility, and may not survive because of the difference in physical appearance and behavior within a group of purebred primates.
Maybe but im not sure if they can have an offspring.
No. Not close enough to crossbreed.