No, You can of course overlay text with new text, but PDFs are not made for editing, and InDesign doesn''t try.
Edit it with Adobe Acrobat Pro, indesign can't. Option for Indesign is:
of course overlay text with new text
There is specialized software for editing PDF files, though the choices are much more limited and often more expensive than creating and editing standard editable document formats. Version 0.46 and later of Inkscape allows PDF editing through an intermediate translation step involving Poppler.
Serif PagePlus can open, edit and save existing PDF documents, as well as publishing of documents created in the package.
Enfocus PitStop Pro, a plugin for Acrobat, allows manual and automatic editing of PDF files, while the free Enfocus Browser makes it possible to edit the low-level structure of a PDF.
In Acrobat you should use the TouchUp Text Tool.
But in the end, PDF-files are not made for editing.
If you only need to make a small edit you could open the PDF in Illustrator and edit there. But depending on the size of the edit that can get a little tricky. If its just changing a single word or two you can probably get away with it but if its a whole para then the layout is likely to fall apart.
than its easier to edit it with Adobe Acrobat Pro, cause Illustrator give a bigger chance of moving object and fonts problems
Illustrator should never be used as a general purpose PDF editor.
True, but sometimes it's an possibility. When having Graphs for example