Ps4 twitch stream without capture card?

Can I stream only with my PC with my Ps4 without a capture card? Knows that the Playstation can do it like that, but don't think it's so good.

No. Somehow the picture from the PS4 has to get into the PC.

You can start and play the PS4 via Remote Play on the PC, but you need a lot of bandwidth and with a normal PS4 the game is only 720p. If the Twitchstream is added, I don't know whether the line can do it.

If the PS4 is on the same network, doesn't Remote Play use the local network?

Yes, the program is looking for the console in any case via the Internet.