Can this be done?

https://scontent.xx.fbcdn.net/v/t1.0-9/20264948_10159190727645311_5290025817024575518_n.jpg?oh=aeb6105d4ec8fe885d51be49c32625c2&oe=59FDD99F

What all i would need to make this playable for ps4? but i also want to keep it as ps2 support as well.

brook ps2 to ps4 adapter

these? - https://www.focusattack.com/brook-super-converter-playstation-2-to-ps3-ps4-adapter/

i have the PS2 to PS3 one but that doesnt work on ps4 because it registers as a wireless device.

Yeah what DEZALB said