Yes, the Office packages as well as the programs Visio and Project are compatible with each other. However, the condition is that all programs come from the same version or the same year.
Example 1 (not compatible)
Visio 2013 Professional Plus + Office 2016 Professional Plus
→ This combination is not compatible, both programs cannot be used simultaneously.
Example 2 (compatible)
Visio 2013 Professional Plus + Office 2013 Professional Plus
→ This combination is compatible, both programs can be installed and used together.
Therefore, always ensure that Office, Visio, and Project come from the same version to avoid compatibility issues.