Almost certainly not. Halo is Microsoft's flagship exclusive franchise—owned, published, and controlled by Xbox Game Studios.
Halo: Combat Evolved was originally a Mac/PC game (1999 Macworld demo). Microsoft bought Bungie in 2000, made it Xbox launch exclusive. A PS2 port was prototyped but cancelled.
Bottom line: Buy an Xbox, build a PC, or stream via Cloud. PlayStation will not get Halo.