Hello!
You can use cut and paste currently to move a multiple selection of cues. In Edit mode, select one or more cues, then tap the "gear" icon. Select "Cut cues" and then select the cue where you would like to insert the pasted cues. Tap the gear icon again and select "Paste as cues". (There appears to be a little bug where the pasted cues are not immediately playable when you exit Edit mode. We'll look in to that. For now, you can just close and reopen your show, and all your cues will work just fine.)
I've added to our feature request tracker to also look at being able to drag a selection of cues. Thanks for the suggestion!
Brent