Dave,
As TampaTyron posted the answer is yes, but it depends on your budget. I have built a couple of these and Telephone inbound is much simpler than Telephone outbound. Also, I am not at all sure that you can do this with 3500's as I have only done it with 7500's. In my case, it was a high-end hotel/conference center and the request was that anyone could pick up a house phone and by entering a four-digit extension be connected with the A/V Talk Group, the Catering Supervisor, or the HVAC on-call engineer for the conference center.
We needed a repeater for each active Call to be connected as the Telephone support will only use one of the two slots available at any one time. because the repeater has only one 4-wire interface. You also need an EID Feature Code in each repeater to enable the Digital Telephone Patch (DTP) Feature
Then you need the interface to the PBX/PSTN network. In the original announcement of this feature, Motorola says "the DTP utilizes an existing Commercial Off The Shelf (COTS) Analog Phone Patch box for phone operation through the repeater" and they refer to the Zetron M735 hardware in their Powerpoint from the Release 1.8 2011 Announcement.
In my case, we built an Asterisk Box with a modified App-RPT and used the DMK engineering URI USB to 4-wire interface instead of the Zetron. This gave us much more capability to control the call routing both inward and outbound. Unfortunately, the gentleman who did the changes to App-RPT is now a silent key and I am not sure if everything made it back in App-RPT as a patch before he passed, which was the original intention.
If you go this way then a scheduled call file to an extension (talk group) that sends an alert tone maybe followed by an announcement should handle the Lunch break notice.
NOTE: even though your phone call is full duplex the radio side will continue to be Half Duplex, so only one party can talk at a time same as a radio-to-radio call.
Good Luck --
MTR-3000 Part # HKVN4066A