No, I tried it even with new firmware and it didn't work. This is due to the Friends of Hue story Signify only allows accessories from certified partners. Unlike the light bulbs. I have integrated the button into the Home Assistant using the Sonogr Zigbee dongle.
From my point of view, only Hue products and "Friends of Hue" are compatible with the bridge. I would have said that it can't be integrated, but I'm happy to be proven wrong. Although it is also Zigbee, this does not mean that everything is compatible with each other or that the bridges of the individual manufacturers allow all products.