it's possible to have cfw but it's not something that many would seek.
fail0verflow made two blog posts about Aeolia and Belize, or what is traditionally known as MediaCon, the first device to boot the system. having the keys to this device would allow CFW but there's an issue (that i don't care about at all). There's a separation between MediaCon and the APU, meaning you cannot interact with the APU's memory through IOMMU. If you could, you could allow a permanent HEN to boot from the device. Seeing as you can't, you can do everything else. Considering that MediaCon is an ARM device, you'd have essentially an ARM CFW for the ps4.