Nope. That would just cause more issues, if anything. It is likely that, if the world were to work that way, there would end up being biases against certain groups of people wanting to have children while also allowing other groups to have kids, including those who shouldn't. For example, a rich white cis-het Christian might have an easier time getting a license compared to couples who are POC, queer, from marginalized faiths, etc, due to societal biases being in favour of people from that demographic. This is already a huge issue being seen when it comes to adoptions, where most adoption agencies are more likely to turn away good candidates for adoption just because they are from a marginalized group or want to be a single parent. Meanwhile, there are many cases of adopted children and foster care kids being taken care of by abusive individuals who are able to get away with their abuse because of their coming from positions of privilege (e.g., white, cis gender, heterosexual, middle-class, etc).
To add to this, this issue is much deeper than just "people needing a course" or something. This is an issue that stems from ageism and it heavily intersects with other issues, from the patriarchy (which impacts family dynamics and how families are structured) to racism (generational trauma experienced by certain racial groups, along with the struggles they are more likely to face today, can have major impacts on parenting). This is an issue that would need to be addressed on a much deeper level.
Also, there is no way to even guarantee that parents who take said course would even bother to employ any of what they learned when taking care of their kids.