Nope. Chidori could brake through Raiton no Yoroi while the Futon:Rasen Shuriken coudn't do it. Both jutsu, the Chidori and Rasengan, works differently. The base Rasengan is Keitaihenka on the highest level. Chidori on the other hand uses the properties of Raiton.
The Seishitsuhenka Raiton is...