Indoor GPS reception is spotty, especially in urban / high-rise environments, so I don't think that's a realistically marketable product. Not unless you some have some window- or balcony-mounted probe, which would then require battery changes (although I suppose you could make it solar-powered).
There already are clocks with GPS (but maybe not eink): try searching for seiko space link clocks eg https://www.sakurawatches.com/index.php?route=product/produc...