Yes. Plantar warts are permanently disqualifying for all of the services. Have fun in the civilian world.
(Kindler, Gentler KBayDog: If it were me reporting to OCS with asymptomatic plantar warts, I'd treat them like ingrown hairs or a skinned knee...But that's just meI'll leave it at that.
p.s. - By the end of OCS, your feet will be callused stumps anyway...)
My recruiters tell me that you can get disqualified, but the Navy typically overturns it.
I'll leave it at that.