The field is from another plugin that creates checkboxes, so unless the author of that add on plugin also made modification to the conditional logic code, then no, it can’t be used for conditional fields.
If you want to do this you’ll need to not use the add on and use a standard ACF checkbox field and dynamically generate the values for the field. The example given here can also be used for checkboxes http://www.advancedcustomfields.com/resources/dynamically-populate-a-select-fields-choices/
