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.