Only if the house is old enough to maybe have an iron or lead supply pipe, Dudley. Only then if it puts your mind at rest.
Modern polyethylene pipe rarely fails.
If a new run is ever needed, it would most likely be "tunneled" to the house with a "mole" powered by compressed air. Not desperately expensive.
I can't give you an idea of the price, since it would depend on things such as what services are already in the drive etc.
Trenching the conventional way would be disruptive and messy. You'd need quotes from a landscaper and gardener.