EGNOS and WAAS are Space-Based Augmentation Systems (SBAS). They are compatible (conforming to RTCA DO-229D, but cover different areas of the world: EGNOS for Europe, WAAS for America. There are also systems covering other parts of the world.
So, yes, any modern GNSS receiver will be capable of receiving and using SBAS signals.
BUT ground-based users need to understand that these systems are really intended for airborne use, and correct for wide-area systematic errors. They know nothing about the local multipath environment of a ground-based receiver, and cannot correct for these errors, which can be very significant, especially in canyon and cliff locations. That little 'WAAS' indicator and estimated error can be very beguiling, but you need to keep watching out for possible multipath errors, and the terrain features that can cause them.
