Very doubtful considering the DIP switch is manual. The intent with these products is that you choose the color temperature at time of installation. (I don't doubt that someone electrically inclined could create a replacement for that component that is remotely addressable, but at that point you might as well go for a smart bulb.)
However, you could still control the bulbs to some extent from Hubitat: on/off would work with any in-wall smart switch. A smart dimmer might also work, but that spec sheet doesn't make it clear that dimming is supported, so I'd check first.
What exactly is this? I'm only familiar with candelabra bulbs, which are generally not recessed since the point is that they (arguably) look decorative.