Yes this is a Star Wars reference.
Episode 34: 指圧底国の逆襲 – Shiatsu Teikoku no Gyakushū
(The Subterranean Shiatsu Empire Strikes Back)
In order to learn more about Asana and her group, and find out how Asana got her Maximum Monster, Yuga sends Kaizo and Sebastian to Nail. Along the way, the two of them have to hide from the rain. Finger Chikako, a self-proclaimed Subterranean sent after them by the Machine Cavalry Duel Club, then shows up and challenges the two to a Duel!
Odo Yuga: Ishibashi Hiiro
Kamijo Tatsuhisa (Luke): Yashiro Taku
Sogetsu Gakuto: Hanae Natsuki
Kirishima Romin: Kusunoki Tomori
Kaizo: Kobayashi Yusuke
Saionji Nail: Matsuoka Yoshitsugu
Sebastian: Tadano Yohei
Ranze: Kamakura Yuna
Mutsuba Asana: Takahashi Minami
Tazaki Galient: Nakamura Mitsuki
Kayama Schwer: Sato Yugo
Dove-rap: Matsuda Risae
Finger Chikako: Morinaga Chitose
Machine Cavalry Duel Club members: Kumagai Kentaro, Yamane Masashi, Kawano Mari
Script: うえのきみこ || Ueno Kimiko
NOTE: Chikako is voiced by the same VA as Sorako, and also looks exactly like her. As for what Shiatsu is, check this Wikipedia article.