You can track your LSN windows and write yourself the CDC apply logic. SSIS has the CDC extract and apply functionality built-in, and you can run SSIS CDC data flows either on your on-premises SQL Server, or in an Azure Data Factory SSIS runtime.
You can also use timestamps and triggers to achieve the same. On the comments I gave you an example.
Another option is to try Striim on Azure Marketplace which offers some CDC functionality.