I guess it depends on how you define "prints." If you are talking about fine-art giclee prints on canvas, then, yes, there is a relatively decent demand / market for those type of prints. It seems that there is a smaller and rather limited market for prints on fine art or archival quality paper. The truth of the matter is that most people will not pay the extra money for museum quality paper prints and are content with a print on photo paper ... and that market is super-competitive, given the give-away prices that Costco and some on-line outfits charge for photo prints (who cares that the colors are off or that nothing is profiled). However, do you intend to print your own images and market them, or do you intend to provide printing services to other photographers / artists / general public? If it is the general public, then ... good luck. If it is other photographers / artists, then it depends upon your contacts, your print-making skills, prices for limited edition runs, turn-around times, whether you do fulfillment/drop-shipping, etc.
I print on a wide-format 44" Canon iPF 8300 fine art printer. We have done a series of 24" x 36" canvas giclees of Northern Italian Lakes and vineyards ... and luckily ... by pricing those prints right, the gross sales proceeds have already paid for the printer (not the net sales proceeds ... because you have to factor your time, picture processing, the cost of paper, ink, laminate, stretcher bars, etc.) I have also done some large-format fine-art printing for local photographers on canvas and museum quality papers.
The point is: you can make money, but it will not be quick or automatic, and the chances of it "paying for itself" apply more to the printing and sale of your own works, or in providing high-end printing services to other photographers / artists who want, appreciate, understand fine-art printing. If your business model relies on families and friends who want enlargements, well Costco will win every time!