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I suggest that you first of all put paper in all paper trays and/or the manual feed slot, at least one sheet.
Check for paper jams, however slightly.
Unplug the printer from the power. Leave it that way for 1+ hour, or overnight. Plug in to power again, only after that interval, and see how it works.
Does the printer make any sort of 'running' noise, before it brings up the 'no paper feed' message?
How old is the printer?
If the problem might possibly be owing to aging roller surfaces (for paper is fed into faxes and printers with rubber or plastic cylindrical rollers, that propel the sheet into or through the machine)... then you might need to clean the rollers in the problem area where feeding is not happening.
Remove all paper from the machine, unplug it, and open it so as to have access to the rollers in the problem area where feeding is not being done properly.
Take a clean high-quality lint-free rag cloth, moisten it with rubbing alcohol, and rub the rollers firmly all over their paper-contacting surfaces, three times over.
(If the rollers are hard to reach, there is another way to clean them... let me know if that is the case, and I will detail how to do the cleaning.)
Allow 5+ minutes for drying-off, then reload the paper, close up the machine where you opened it up, and then try again.
Where is the paper being fed from, or attempting to be fed from? i.e. paper tray(s), manual feed slot, etc.
What type of paper is it?