Not currently. Only documents created in Connie can be signed through Connie. But there are good reasons for this.
Word and PDF files were designed for printing, not for digital signing. Connie uses its own document format, which gives signers a much smoother experience — especially on mobile. Read more about why we use our own document format here.
Good to know: You can still upload and store Word docs, PDFs, JPGs, and more in your projects — so all your files stay in one place.