Just my opinion, but I would be shocked to find out that people were trying to provision anything in their AWS accounts from their phone.
It'd be shocking because of how bad the console UX is, but I bet there are many people who would like to do that. It's not always enterprise-grade services I'm working on, sometimes I just want to hack on something with my BT keyboard during a train ride.
What about current click behavior, but also if you hold for a little bit it let's you drag? Would need accompanying animations to make it intuitive.
Easier would be default to DnD, do clicks only on mobile viewports