You are indeed correct that the select functionality of the Scheduler allows to select multiple events by holding the "CTRL" key and then drag them to the desired slot. This could be tested in the following demo:
Alternatively, you could also create a custom button with two DatePicker widgets that retrieves the events in the specified range and then moves them to the specified date. Refer to the following Dojo example that demonstrates a similar scenario:
In the above demo, click the "Move All Events" button to open the dialog, then select 13 June 2013 in the 'From' DatePicker and 12 June 2013 in the 'To' Datepicker. Then, clicking on the 'Done' button will correctly move only the AllDay events to the specified date. Note that the DatePickers initially start for the current year(2019), however as the demo service returns events for year 2013 you should correctly select 2013 year from the DatePicker and then choose the 13/12 June dates to test the example.
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