The only interface I know of is the JavaScript doc.saveAs method. Doc and Doc.Media APIs — Acrobat-PDFL SDK: JavaScript Reference (adobe.com)
Notes
1. This could only work if the user is instructed to turn off Protected Mode in Acrobat. Some companies forbid this.
2. To run Acrobat JavaScript from an external app there is a special VB:JavaScript interface and a call to execute one line of JavaScript (simpler)
3. There are further security limitations on saveAs, as noted in the linked documentation. This might mean you can't use it.
4. Start with a basic test of the JavaScript command in the JavaScript console to see whether the result is worth aiming for.
5. Be aware that PDF -> Word is not a precise process. Word cannot handle the complexity of layouts found in PDF, and Word really wants to reflow to a completely new layout. Acrobat sometimes turns parts of the page into uneditable graphics to keep layout. Experiment carefully with your use case.
6. If you are planning to use this as a method to convert format X to Word, by going X -> PDF -> Word, I suggest you think again. Countless people have seen PDF as a simple way to get things converted, and much pain has resulted.