The PS2 network is the same network as the PS3 so I guess that means yes.
BUT.............I heard form an EBGames guy that development on games for PS2 would stop in January. Haven't seen anything more on this.
- Destiny - The Taken King (PS4)
- Elder Scrolls Online Tamriel Unlimited (PS4)
- Assassin's Creed Syndicate
- Fallout 4