No. GrapheneOS (or rather its main dev) has a big thing against CalyxOS. Not so much the other way around it seems. The developer of GrapheneOS seems to think they are attacking him but when I read in the CalyxOS community they really don't seem to care one way or another :? I looked at both a while back but I didn't have the right phone for Graphene and Calyx didn't support my model in the end either although they did have plans to do so. But OnePlus made a nasty twist that made it impossible in the end.

I don't think LineageOS has any issue with GrapheneOS or the other way around. They're not really fishing in the same pond. GrapheneOS is a security hardened OS for pixel phones only, whereas LineageOS is more like a long term support ROM for as many devices as possible.