It’s not a current factory offering. No Fireball offerings for Howa Mini..
Howa US - Howa Mini 1500
If this is something you want then just have to buy barreled action chambered in 223 and rebarrel it in 17 Fireball. You may need to test Howa 223 Magazine to determine if 17 Fireball will reliably feed without prematurely popping out of feed lips. Will the Mausier-style extractor claw engaged/captured the Fireball case prior to cartridge releasing from magazine?
A potential solution would be either upgrading the bottom metal to a hinged floorplate with internal mag well. There are two sources for this upgrade, Oregunsmith and Jefferson Outdoors.
A second option is a magazine conversion that replaces the bottom metal that then allows you to use and CZ527 metal magazines. Keep in mind that the CZ527 magazines vary in length based on length of the cartridges (hornet, fireball, 222, 223, 204). As a result the magwell slot was different lengths in the CZ factory bottom metal. I assume that the Jefferson Outdoors upgrade has only two sized magwell cutouts to accommodate the CZ Mags for either .223 or 6.5 Grendel. Although CZ offered 221 Fireball magazines, their shortened length may not work with Jefferson’s product.
Food for thought. Hopefully, someone has already done this to their rifle and can save you from chasing your tail.