If for some reason there is an Anti A.T. Field
(which, as far as I know, is only possible from the energy produced by S² engines which will neutralize Eva's A.T. Field, as seen during Third Impact, which will, if the amount of energy is large enough, destroy a lot of the surrounding area (example: Second Impact (Anti A.T. Field generated by Adam exterminating all local life on the South Pole) and Third Impact (all mass production evangelions together with EVA 01 generate an Anti A.T. Field together powerful enough to destroy the surroundings revealing Lilith's Egg (The End Of Evangelion Movie))).
being able to use weapons from the dispenser buildings will put both mecha to a somewhat equal fight (this is however with as far as my knowledge goes about Gundam Wing Zero).
Because they start with this "safe distance" between them, EVA 01 would be able to equip a Positron Rifle, dealing some serious damage while still remaining out of close quarters combat.
If this however misses, deflects, or for some reason would not work on Gundam Wings Zero, EVA will still be able to stand his ground in close quarters combat by going into berserk mode (this is however uncontrollable, so this would have to be activated by Eva's resident soul itself)