I believe not.I get your point the bottleneck here is not the supply side of things.
Assuming there are not limitations on the input power, increasing the voltage applied to the cell will increase the current running through the cell.
The input into the transformer will always have a limit of kinds.
And the relation between current and voltage is set by this there are also formulae describing the transformer process with the voltage into it and the amount of windings on the coils in and out.
An example to think about is this.
What happens to the voltage and current if you short a circuit?