Is there a primate type (monkey if you will) that humans cannot procreate with ...
I don't think many people have
tried to procreate with monkeys. If you wish to find out whether this is merely assortative mating or whether there is a genuine genetic incompatibility ... then I look forward to reading the results of your research.
While you're busy looking for a baboon with low standards, we'll be here chatting about evolution.