Pass inherited arguments to base class constructor, then do something in derived class constructor

Consider the following:

I derive a class Child from another class Parent. Parent has a ton of overloaded constructors. The Child class does not need any more parameters for construction. But once the base class constructor has been called, I want to do some more stuff during object construction.

So my question is: Using Modern C++, can I write a single constructor that accepts all arguments that any of the overloaded base class constructors accept and just forwards them to the respective one?

To be explicit: I am aware of the using Parent::Parent syntax, but that would not give me the opportunity to do anything after the base class constructor is called, as far as I understand.

I have searched around here on SO and in the depths of the internet, but I could not find anything like that, even though it seems like a fairly common use case to me. Any help would be much appreciated.