No, these values are not currently made publicly available through the site, the Stack Exchange data explorer or the data dumps.
I imagine the reason is because hotness is ultimately time-based; as time goes by, the hotness of a question ultimately degrades.
Because of this, how do you determine what point in time a questions "hotness" should be stored?
You'd have to capture it for every change in a parameter that can change hotness. For most of the parameters, this probably wouldn't place that much load on the server to calculate on-the-fly for a single request (aggregated over all the requests that Stack Overflow gets, however, that's a different story).
What could be happening is that all of the components for "hotness" of a post excluding time are calculated beforehand and stored on the post. If this is the case, I'd make a request for that to be included in the dumps and data explorer, and then you can fill in the rest depending on the points in time you are looking at.
Regardless, you have all the components referenced in the "hotness" calculation in the data explorer (and I imagine in the data dumps as well). You could definitely calculate the values if you want, but I imagine it will be somewhat computationally intensive.