Does the Figma education plan support multiple variable modes?

Hey Kaysar! Thank you for reaching out to the community.

Yes, Education Plan supports Variables. To clarify, variables in prototypes and publishing variables to team libraries are available on the education plan and any paid plans.

I know Variable is available in the free plan, my question was is variable mode available on education plan

As explained, they "are available on the education plan". Hope this is clear.