Simple answer, yes.
The purpose of the isotype control is to let you know the degree of background staining a non-specific
antibody labeled with the same fluorochrome has on your cells. You need the same fluorochrome for two reasons: 1) Without it, the degree of binding can't be measured in the proper channel, e.g. it doesn't help to know the background staining in the FITC channel for your PE-
antibody. 2) Fluorochromes, themselves, are chemicals with more or less propensity to bind cells non-specifically. The whole point of using a similarly labeled isotype control is to determine the degree of staining that should be considered "negative" since what is positive and negative is all relative depending on your settings. On some cells, e.g. macrophages, the difference between no
antibody and an isotype control is notable and you need to know that to avoid declaring something as falsely positive.