Is it possible to use the brace initialiser list syntax for private members? [duplicate]

The following code compiles

#include <vector>
struct Foo
{
    int a;
    int b;
};

int main()
{
    std::vector<Foo> foos;
    foos.emplace_back(Foo{1, 2});
}

However, it fails if I replace struct with class¹. Aside from doing that (I would like to keep the members private), is there something I can do to enable me to use the Foo{1, 2} notation? I'm keen to avoid writing a constructor for Foo myself.

I'm using C++17 although of course will be interested in general C++ answers.

---

¹ Compile error (MSVC) is

1>c:\...: error C2440: 'initializing': cannot convert from 'initializer list' to 'Foo'
1>c:\...: note: No constructor could take the source type, or constructor overload resolution was ambiguous
1>c:\...: error C2672: 'std::vector<Foo,std::allocator<_Ty>>::emplace_back': no matching overloaded function found
1>        with
1>        [
1>            _Ty=Foo
1>        ]