Multiple accounts?

Can I have multiple iCloud accounts? My primary iCloud account seems to have problems syncing Photos on all my Apple devices (iPhone, MBP, iPad), but primarily iPhone. Essentially syncing from iCloud to iPhone causes Photos to be completely unresponsive. I have had many, many telephone conversations and emails with Level 2 Apple Support about this issue, and it was suggested that I should create another iCloud account to see if that might resolve the issue.

I am trying to determine if it is advisable or even possible to have multiple iCloud accounts and what ramifications multiple accounts may have.

Any suggestions are truly appreciated. Thanks in advance.

P.S. I saw one thread on here but it was from 2013 and did not appear to be relevant to present-day iOS and macOS.