You can do it via a custom chart.
All the metrics for the different process groups that are in the technologies tab are available as metrics and can be used in custom charts.
You can e.g. filter for the Technologies category and then search for your technology to get all availible metrics for it:
A Health tile for process groups is not available though.
you cannot get a tile that is dedicated to the process group health like the hosts, mainly because multiple processes reside under that group. You can however create a custom chart that might look at .net failures and other metrics.