No, parents should not play a role in deciding the future of their children.
Parents often tend to want their children to be like them or not do something because they never had a chance to. It's not the parent's life, it's the child's. The child has to learn to make decisions of their own in life and then deal with the consequences. Parents need to let go a little bit and let their kids live their lives. If they're happy with what they decide for their future, then that's all that matters.