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There is nothing preventing another access being created providing all owners of the relevant parts of land over which the access will cross, agreeing to that.
However, the permission of the landowners must be obtained. Otherwise, it's a case of potentially trespassing across the land of others without their consent.
The farmhouse can grant a new driveway/accessway over its own land for the benefit of others, so long as it doesn't touch anybody else's land without their consent. This is so, even if it means passing by a neighbours property, so long as it does not touch it.