Accidentally fed my Uni a DLC food

I recently got the Very Berry Land ticket for my Uni. I raised a Cornetchi and loved her to bits, but decided I wanted a Woopatchi or Milktchi next. Now I have a new Lionetchi, and I accidentally fed her an ice cream sandwich I had from my Cornetchi. Does this mean I can't get Woopatchi or Milktchi this time?