They do not have a fridge
No fridge. Very few amenities.
Ours didn’t but they do mini suites that may have
There was not a fridge in the room we occupied.
I guess you've already had the answer, which is no. Ask at the bar for ice if thats what you need, try asking at the reception for anything as they're a friendly bunch!
Get an answer from Chainbridge Hotel staff and past guests.