I don't think so, unless you're talking about professional-grade printers for businesses who print a LOT and look at the TCO of printers before buying them. Consumers buy literally the cheapest printer available at the store. Manufacturers have had to start shrinking the amount of ink in starter cartridges just to get consumers to buy any cartridges at all since otherwise people would buy a new printer instead of buying cartridges.

A printer that's actually profitable without any ink sales is going to cost hundreds of dollars more than any consumer would be willing to pay.