to save result of query to a table in any project - you do not need to save it first to VM you should just set properly destination property and of course you need to have write permissions to dataset that contain that table!
Destination property can vary depend on client tool you use
for example, if you are using REST API's jobs.insert you should set below property
configuration.query.destinationTable nested object [Optional]
Describes the table where the query results should be stored. If not
present, a new table will be created to store the results. This
property must be set for large results that exceed the maximum
response size.
configuration.query.destinationTable.datasetId string [Required]
The
ID of the dataset containing this table.
configuration.query.destinationTable.projectId string [Required]
The
ID of the project containing this table.
configuration.query.destinationTable.tableId string [Required]
The ID
of the table. The ID must contain only letters (a-z, A-Z), numbers
(0-9), or underscores (_). The maximum length is 1,024 characters.