The widely debated feasibility of thermodynamic machines achieving Carnot efficiency at finite power has been convincingly ruled out by several recent results. Yet, the common wisdom that efficiency can only be optimal in the limit of infinitely-slow processes overlooks the dual scenario of infinitely-fast processes. We corroborate that efficient engines at divergent power are theoretically possible, framing our claims in the theory of Stochastic Thermodynamics. ; Comment: 5 pages, 2 figures