No. You have 24 VAC at the stat.
I eluded to the same as Reloadron. DIP switch or resistor sets time delay. The bigger problem is
fitting it in a single gang box. box. You do have deep boxes that can be used. Alternatively, you can put the relay on the roof at the expense of a few wires. Depending on the setup, you can dedicate a small enclosure to 7 relays (4 cond wire from each stat) and keep independence.
www.l-com.com has some nice plastic enclosures.
I don't particularly like the roof.
I had an SSAC short cycle timer for the AC comresssor when stats were mechanical that worked flawlessly until the system was upgraded. i do have to replace an SSAC delay on break for the bathroom fan that's in the attic.
Key terms are delay on make timer, 24 VAC, Relay output.
Industrial controls (22 mm is one standard) switches from say iDEC also work.
When you make the connections think about using a stranded pigtail depending on the switch selected.
Me: EPA certified for automotive/small appliance and helped an HVAC professional that needlessly replaced a air to water HP. Some renovating shorted an unprotected tstat wire to a metal stud opening. I think it took me 10 minutes to troubeshoot. He had been working on it for days.