Yes and yes.
Storage heaters are pretty poor. There are better electric heaters on the market now that will outperform storage heaters.
These could be fitted as like for like replacements but you may have to take the supplies off the timeswitch (eco7) as they would only operate at night.
Other alternatives are things like heatrae sadia electromax boilers which do both hot water with a storage vessel plus the heating. This would be via a wet (radiator) system but heated electrically. The system works well but will cost a bit on installation. Perfect for a flat though with no gas.