Yes and no. Any file which embeds the font data, such as PDF or image formats, and any text that has been rasterized or outlined, will continue to display correctly. These types of files may be reproduced and distributed independent of your subscription status.
Documents that reference fonts on your computer, such as an InDesign or Word document, will show a missing fonts warning and use a default font from the program in place of the one from Adobe Fonts. You would need to purchase a new font license and install the fonts on your computer to continue to display and edit these files.
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