Under the connection properties, uncheck "Enable background refresh". This will make the connection refresh when told to, not in the background as other processes happen.
With background refresh disabled, your VBA procedure will wait for your external data to refresh before moving to the next line of code.
Then you just modify the following code:
ActiveWorkbook.Connections("CONNECTION_NAME").Refresh
Sheets("SHEET_NAME").PivotTables("PIVOT_TABLE_NAME").PivotCache.Refresh
You can also turn off background refresh in VBA:
ActiveWorkbook.Connections("CONNECTION_NAME").ODBCConnection.BackgroundQuery = False