Yes, absolutely.
To de-identify information, there are transformations like reducing the granularity of the geography, to have larger and larger geographic areas, for example, or reducing the granularity of dates so you can have larger time intervals; instead of days, you can have weeks or longer. You can use synthetic data, which creates fake data that looks like the real data but it's not about the individuals. You can use cryptographic techniques, where you encrypt the data and do the analysis on the encrypted data.
There are a number of different technologies that have been developed that can be used for this purpose. The choice, of course, will depend on the objectives of the Public Health Agency and what kind of analysis they do, but there are options.