I don't think so. The Poor Boy- at least the modern incarnation gets its name because of all iron(steeo) furniture, and usually the lack of any buttplate. Sometimes the owners would make a buttplate( Pad) from thick cowhide, and tack it and glue it in place. But, even iron was expensive, so you saw no entry thimbles, no sideplates, and no patch box. Some had grease holes, but not all. These guns were made in the Appalachians for years to give the poor rural people living there a serviceable gun with which to feed their families.
Contrary, Barn guns were usually the neglected, and abused remnants of any kind of rifle, mostly because they had been left to rust after the owner died and no one in the family wanted the gun enough to take care of it. Young people back in the 19th century wanted all the " New " things of the day, too, and who would want Granddad's old gun if they could get a new " repeater"??? As long as the gun functioned without requiring much maintenance, it could be used to slaughter hogs. It became the " Barn Gun", often because women objected to having the smell of rotten eggs in their homes, and didn't know how easy that could be gotten rid of by just cleaning the barrel with soap and water.