All Ohm's Law states is a relationship between (at the basic level) volts, amps and Ohms.
*Any* of them can go up or down in any manner, simultaneous or not, and the equation still holds. The manner is dictated by the system or the device and is only explained by the Law.
In most real applications however, as the current increases the voltage will decrease. The reason the current increases is due to a reduction in resistance and (so long as the source and keep up) an increase in current flow will be, for the most part, proportional to the increase in Watts produced.
Although it is rare, it is possible to increase voltage and current simultaneously. It probably is rare because without a corresponding change in resistance, such a simultaneous increase would cause damage to the system.
We like it when the volts go up and the amps go down. Conductors are sized in amps and the smaller the conductor, the less money needed to buy them.