Can't access a font style when editing.

I've created a file using InDesign and exported it to PDF aswell.

Now I have to edit it, but I lost the .indd file, so I figured I'd used Acrobat Pro DC.

The problem is: I can't select a font style.

I'm not sure if this is the right term, but let me explain better.

I wrote several things using Futura Light, but Acrobat would only show me Futura or Futura condensed.

When I hit cmmd+D and check the Fonts used, I can see Futura-Light, Futura-Medium, but I can't choose them in the toolbox.

Is it possible to do so?