I have a 10.5kW shower in my flat which was day and light better than the 7kW it replaced (unsurprisingly).
Only reason I am removing it is I am fitting a combi boiler and which will be cheaper to run and get rid of the cold water pipe which was installed in a crap way before I bought it and causes lots of damp problems behind some boxing in due to condensation (have lagged it as much as I can).
As long as you have good water pressure then yes a power upgrade will work. You can't use a pump with electric showers, only hot water tank fed ones. Rented place I am in now has such bad water pressure that the water stops when someone next door uses lots of water.
from my non-expert electrical knowledge you will probably need to upgrade the wiring and circuit protection at the same time unless they were over-specified at the time and this is all notifiable work.