It is a big NO. Once you give robots emotions they will start to care for what, when, why and ask questions. Is it good or is it bad? Is it fair or unfair? Should I or shouldn't I? etc. Robots without emotions will be our perfect slaves. They do everything without asking questions, without thinking if it's fair or not and demand compensation and equal rights. As long as they don't care they do as they are told, period.
If you want they could be program to act compassionate, but they shouldn't feel and care if they do or not.
As you can see from this chart below it is already done deal, and the last stage the robots with AI, will seal the deal. Instead of fighting it and going against this strong, and pretty much unstoppable trend, embrace and adapt to it. For example bigger compensations should be given to unemployed people so they can go to school or become more mobile and move to where the jobs are. Secondly, slowly all rich countries should go to guaranteed income program. There also should be international agreement to tax corporations the same rate all around the planet. This would take away incentives to move production elsewhere, but rather build factories where the market is.