There was a dock for the PSPgo but it was crazy expensive, it was only for charging IIRC though.
I have /use the standard TV to PSPgo cords and each time, I keep wishing that Nintendo would take a lesson and make the switch connection this easy, so as not to need Genki gadgets to make that happen. Although, the Genki Covert Dock/charger is much better IMO than what comes with the console traditionally. One last thing, sorry for going off-topic, I just saw this yesterday, that there's another company that makes a knock-off of the Genki Covert Dock, and sells it at $50. USD (Amazon) Which is what I paid for mine (actual Genki C.D.) on sale last Xmas.