Countries should or should not be able to limit the number of offspring humans can produce?

A hard question. Policies that limit population have far reaching consequences. For example the imbalance of males to females in China, due to China's two child and one child policies, has made it hard for young men to find a wife, this in turn has resulted in people kidnapping women for forced marriages or sex trafficking.

But on the other hand you have situations where people continue to reproduce and the government is expected to provide schooling, health care, housing and all sorts of infrastructure for the growing population. This puts a large strain on a country's budget.

Also some people appear to be incapable of being good parents and so the state is left to deal with their out of control kids.

As the population of the world increases it is obvious some kind of population control will be necessary. Many people these days choose not to have children because the state of the world. Probably government control measures are a good idea.