I had a similar problem:  paper could feed through, but I would get a paper jam message.  I found a small sensor which was bent, and when I bent it back the other way, I was able to print.

Open the printer (lifting the scanner) as you would to change the ink cartridge.  If the printer were a football field, the sensor would be on the right side, forty yard-line.  It is a long, black, plastic arm that sits in a channel between two paper guides directly below the metal rod on which the cartridge slides..  When I opened my printer, the sensor was bent up and out of the channel, and was stuck on top of the paper guide.   With tweezers, then a flathead screwdriver, I was able to gently lift the sensor up and over the edge of the paper guide, and fit it back into the channel.   The sensor is still bent--no longer centered in the channel--but it no longer blocks the movement of the ink cartridge, and I was able to print.

Since the sensor is still bent, I still get a paper jam error from time to time, but I just prop up the scanner, put some pressure on the sensor again, and it prints for me.

It was a very frustrating process to find the answer to my printer's paper jam problem, so I hope this works for you.

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@Palisade wrote:

I found a small sensor which was bent, and when I bent it back the other way, I was able to print.

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I've read through a hundred posts, and yours is the one that solves the problem. They should post it as part of the FAQ and save people hours of searching.
Many Thanks.