There's only 2 options:
1. upgrade water main to get more incoming flow
2. have some form of stored water
For (1), upgrading just the supply pipe which belongs to you may or may not be enough. You can ask your water company to measure the flow at your roadside boundary to see if this would be worthwhile. I think most water companies are obligated to provide 9 l/min at 1 bar (though check with your own). I think you can pump up to 12 l/min legally - but again check.
For (2), you can either have a storage tank in the loft to provide gravity fed or pumped. Or you can have a pressurized accumulator, provided your incoming supply pressure is sufficient. The usable volume of water in an accumulator is less than the size of the tank, as it is partially full of air to provide the pressure.