Hypotheticals are not useful. I concern myself with what is possible now, not far into the future.
I would say it is possible using current technology level. As more libertarians will cry "human nature" the faster leftist biohackers will find a solution! 
Several problems with this. First, automation leads to unemployment. A factory that once employed hundreds of people can now be run by robots and a few overseers and a repair crew. This would not be a problem if the reduced costs and increased profits were passed on to the formerly employed, but this is not the case. Rising overall production does not necessarily lead to a higher standard of living for the average person.
Second, a man without some form of work is a social pariah. Especially one living in a western nation who is forced to move in with someone else. It's another factor in why the fertility levels are dropping and the increasing levels of dysfunction in society. We don't need more productivity as much as we need employment, even if the overall national production falls as a result.
Technological unemployment problem is a redistribution issue. In the state with citizen's ownership on means of production (i.e. socialist-Marxist one) low birth rates and high productivity growth will offset each other.Second, a man without some form of work is a social pariah. Especially one living in a western nation who is forced to move in with someone else. It's another factor in why the fertility levels are dropping and the increasing levels of dysfunction in society. We don't need more productivity as much as we need employment, even if the overall national production falls as a result.