In short - yes! Customers with an Economy 7 meter can certainly get a smart meter fitted. It can also be set up in an Economy 7 setting, but the times of the off peak usage may differ from the old standard meter.
Usually, customers have this Economy 7 meter set up because of storage heaters or under floor heating. This used to prevent a smart meter from being fitted, as those heating systems wouldn't work correctly. We’ve now got a new type of smart meter that can support these heating set ups. We’ll need to know about this when booking the appointment, so that our engineers know to arrive with the correct type of meter.
Still not sure that your set up is suitable for a smart meter? Leave a comment to get this answered.
SMETS2 meters aren’t currently compatible with storage heaters or underfloor heating. More info here