Is there a Lesser Invokative of the pentagram ritual for the Left Hand Path?

That. I didnt find anything on the internet

Not really. The pentagram and hexagram rituals were created by the Golden Dawn, based on their ideas of the Kabbalah and Hermetic principles.

The Lesser Invoking Ritual of the Pentagram is meant to call the elements into the space and assert dominion over them.

In the Left Hand Path, practitioners don’t follow the same map, so there is generally no use for the same type of rituals. Few adherents of the LHP deal with the elements, except in so far as where it might apply to the various demons and gods one deals with.

You may try drawing reversed pentagrams and replacing Archangels with the first demonic Gatekeepers: Belial, Amaymon, Azazel and Abaddon.