Alas, we do not have any information about any possible ink to docx conversion at this time. It might be possible that once there might have been some programs that used .ink files for their documents, but these are largely forgotten by now.
Sometimes users also confuse "ink" for "lnk", which is actually Windows shortcut (link). This usually happens when documents are dragged on the desktop in attempts to send documents and instead a link is created. You cannot convert these links, you have to find the actual files.Open INK file Open DOCX file