Leaving aside whether you want a manufactured social event like this.

I have trouble imagining how it works. The food will invariably arrive very asynchronously. I have limited delivery options where I live and actually end up going and picking up a pizza from one or two different places if I want one. (Or make one at home.) I don't have any interest in some app/third party randomly picking a pizza place and delivering to me.

If you must have a remote team social event, just let people deal with their own food and drink.