Can I stream PS2 with OBS without a capture card?

I picked up a ps2, hooked it up to a Vizio SmartTV, The SmartTV is hooked up to my computer via HDMI cable. So basically, the computer screen is projected to the TV, but the TV can't be projected to the PC. Is there an app that can view or mirror the TV? All I see on google search is the TV mirroring the computer, not the other way around; or do I simply need a capture card?