Answer:
Yes it is possible to increase the power with out changing the amount of work.
Explanation:
The power is defined by the amount of power divided by the time. This time is the one needed to do the work. We can understand this issue by analyzing an example with numeric values.
Work = 500 [J]
Time = 5 [s]
Power will be:
[tex]Power=\frac{500}{5} \\Power=100 []watt]\\[/tex]
Now if we change the time to 2 seconds:
[tex]Power = 500 [J]/2[s]\\Power = 250 [watt]\\[/tex]
As we can see, the power was increased without the need to change the work.