Nope, because that's its own thing - that's your Rattata, Sentret, Zigzagoon, Bidoof, etc. That being said it doesn't look like we have one this generation outside of Lechonk, which I thought would be the Wooloo / Lillipup of the region? Lechonk isn't a rodent though, so... tradition broken, much like the Pikaclones one. Guess it'd be "regional early game Normal type" but that's a bit bland.
Normally we get a regional bird, regional rodent, regional bug, Pikaclone and pseudo legendary but this generation we have no rodent and our Pikaclone evolves for the first time since the Pikachu line itself. Still have a regional bird (first two-stage line since Swellow back in Gen 3), bug (first two-stage line since Kricketune in Gen 4) and a pseudo legendary though.