Creating Selection PDF

Did you try this script? It works with InDesign CC2014, not tested with newer versions.

Just tested, this works even with a complicated set of text/image frames:

1) Open the layout and make the selection of the objects you want to export in InDesign

2)  In CC Libraries panel, choose a Library (or make a new one just for this), and lower left, click the + icon  ("Add Content")

3)  Add it as a Graphic. (Make sure the checkbox for Add Graphic is enabled) 

4)  Switch to Illustrator and  create a new blank document

5)  Drag/drop INDD graphic from the Libraries panel over to the Illustrator doc. You'll see that the items/text aren't editable.

5a)  optional: Resized the artboard  to kiss fit the artwork, it that matters

6)  In Illustrator, File > Save As > PDF, choosing to View PDF after.

7) The graphic opens as a PDF in Acrobat, with editable text

AM

Two other choices (available if you have Acrobat):

• Make a selection in InDesign.
  Edit: Be sure to Copy your selection so it is on the Clipboard
  In Acrobat, choose File > Create > PDF from Clipboard. This will keep live text.

• In Acrobat: File > Create > PDF from Selection Capture.
  Make a selection in InDesign. This will make a picture of what you select.

In the Layers panel, turn off the visibility of all the objects you don't want to export.

Then Export to PDF using Compatibility of Acrobat 5 (before Layers were available in Acrobat).

Only the visible object will be included in the PDF.

I agree with Willi. I take objects back and forth through the library when I need them.

You can also just drag and drop the object from InDesign into Illustrator. I've had success doing this before as well.

It can be done in Illustrator, not in InDesign. Put it in ID in a Library, use it in AI and do it from there.