No.
A 3 KW generator is actually not 3 KW. Look at the power coefficient on the nameplate. It is clearly written on it.
The instantaneous current of the water pump at start-up is approximately 3 times the rated current. A 1.1 kW machine may not start with a 3 kW generator. Even if it can start, the machine will be held up when starting. time of startup. If the generator is lower, it can also be burned.
It is estimated that your generator can drive a 0.75 kW water pump.
The 3KW generator should be a gasoline engine. Gasoline engines are relatively expensive. Buy a larger, fuel-efficient and stable single-cylinder diesel generator!