The paper jams are likely not a result of the printer itself. It is most likely a result of the paper quality and type. It is recommended that HP products are used with HP equipment. If you cheap out on recycled inexpensive paper, the airflow between pages is less and causes the jams. HP paper prevents this.
Your printer is probably jamming because one or more rollers is starting to wear out. Over time, rollers get flat spots which cause the paper to mis-feed and jam. Rollers can be replaced. You need to consult your product manual or contact HP support for more information.
It could be a result of any number of factors. Is the paper common 8"x11 1/2" printer paper? Are the paper inlet rollers clean and free to move smoothly? They are probably clogged with hair and dust. Look down into the tray where the paper usually feeds in and remove hair and dust with tweezers and air duster.
If a printer is constantly getting jammed, it either means that there is something in the way in the paper path that has not been completely cleaned out or that the settings are incorrect for the type of paper that you are attempting to print with. Check both of these.
Are you using a special thickness of paper? if you are this printer may not be made for that certain thickness. Also check to make sure the printer is on stable ground. If the paper is the least bit wrinkled or bent it may easily cause a jam so i would try a new ream of paper