Von Clemens said: “We’re a large town and we’ve got more houses on the way.
“We applied to open a banking hub but were refused.
“Public transport is not good. It’s not easy for older people. The cash machines are outside and facing car parks.”
He said there were also concerns for customers about depositing and withdrawing cash at the town’s post offices.
Lloyds website says businesses can deposit up to £40,000 a month at a post office, although limits vary at different branches.
The Post Office has been approached for further details.
The community banking session will run on alternate Mondays between 10:00 and 15:30 GMT.
It can handle some queries such as balance inquiries and payments.
In a previous statement on its website, Lloyds said it was closing its Gillingham branch because “most customers prefer to use our mobile app, online banking or call us”.