So long as there's sufficient space in the pot for competing roots, yes, no reason why not.

busy lizzies are happier in partial shade and prefer slightly damper conditions than the cordaline so perhaps they are not the best of partners.

welcome to GoY too.

I thought so too Seaburngirl - good point.

Right I'm going to copy that. I have two cordylines in two very big tubs, as they are growing taller I think Busy Lizzie plants will look nice in them. Thanks for the idea there! ?