No, the names in one cert do not affect the names in another cert.
In a single cert you cannot have a name that is included in a wildcard name. For example you cannot request a cert with these 3 names because the www name is covered by the wildcard.
example.com
*.example.com
www.example.com
See the Wildcard Certificates section in this old post for more details: ACME v2 Production Environment & Wildcards
Note also the wildcard name only covers that level. So, in the above cert you could have a name like www2.www2.example.com as well as other wildcards for different registered domain names as they do not overlap with a wildcard name in that cert.