AWS SQS Logging Message Consumption

No. SQS logs to CloudTrail the control plane APIs (as listed in your question). Consuming messages from a queue is a Data plane API, and only a few services (S3, DynamoDB and Lambda) support logging those messages to CloudTrail. SQS is not one of them.

If you need to log all those messages, do it in your application. Another option, that is relevant depending for the reason for the logging requirement, is to send the events to EventBridge and create a Rule with two targets. The first is the SQS queue. The second target is CloudWatch logs. This way all the messages will get to the application as well as to CWL.