Podman Quadlets is what you're after, I think.

Not something baked-in, no, since the entire point of podman is that it's server- (service-)less.

However they do have a command to manually launch the respective user's podman manager, which IIRC is podman system service -t0 (note: runs in the foreground) so if you add that to a service entry (eg.: via runit user units or systemd user scopes) or just launch it via your user crontab's @reboot, it should work without issues.

This is literally my runit user unit for podman:

#!/bin/sh
export XDG_RUNTIME_DIR=/run/user/1000
exec podman system service -t0