No, Booker can counter Frank's power suit with Possession which allows him to posses machines to fight for him. An upgraded Possession allows him to posses humans as well.
In Bioshock Infinite, Bookers gets access 8 types of Vigors that give him access to several powers and abilities which includes:
Possession: Turns the targeted machine to the caster's side, causing vending machines to give out a cash bounty and fighter automatons to fight for the user. Upon gaining the Possession Aid upgrade you may take control of human enemies as well.
Bucking Bronco: Temporarily levitates enemies, rendering them defenseless.
Devil's Kiss: Throws a flaming projectile which detonates after a short while, burning nearby enemies and environmental hazards.
Murder of Crows: Sics a murder of crows onto the targeted enemies, damaging and temporarily distracting them.
Returned to Sender: Creates a temporary shield, blocking all incoming gunfire.
Shock Jock: Shocks the target, temporarily stunning them and doubling the damage they take. Deals critical damage against enemies in contact with water. Can also activate electric generators.
Undertow: Throws all targets in front of the user back with a watery tendril, momentarily knocking them to the floor if they hit the ground.
Charge: Causes Booker to ram into the target from a distance and damage them.
Booker can also cast traps for some of these or to use them for greater damage/defence/effect, however, that takes charge time. On top of that, Booker has his own guns so....