Event and Task are two different objects that are coalesced under the activities related list. Since the user is referenced on the objects by making them the owner of the object, there is no direct lookup relationship you can query using a sub-query (verified in WSDL)
So the short answer is, no, there's no way to get them in a single query.
If you're using Rest, use this documentation for help on querying records.
Then you simply run two seperate queries, one for event and one for task.
SELECT Id, Status FROM Task WHERE OwnerId = <user's Id Here>
SELECT Id, Field__c FROM Event WHERE OwnerId = <user's Id Here>
Alternatively, if you're using related lists as your question suggests, use a related list from both objects:
The error you posted is specifically because you're looking for "Status" on the event object which; does not have a status field. Status is a task field. The question you posted doesn't contain enough information to properly troubleshoot that issue so if you want some help with that error you should remove the error form this question and paste that error into a new question with some code as a sample.