Do Scottish Towns Have Their Own Tartans?

Yes some towns do have their own tartan.

The Aberdden tartan is one of the oldest district tartans.
The first documentary evidence for Aberdeen tartan dates to 1794 when an order was noted in the books of Wilson's of Bannockburn for the tartan.
It is very likely that the tartan pre-dates 1794 but a ban on tartans had existed for sometime after the Jacobite Rebellion.
Weavers had been reluctant to supply tartan around this time.The barony of Abercrombie in Fife gives it name to the Abercrombie Tartan;the Blair tartan is based a territorial name, derviving from the Gaelic word blar meaning a field or sometimes a battle field. The name dates to c C13 when Stephen de Blare was witness to a charter at Brechin in Angus.
The Borthwick tartan, is claimed by clan members to date to the Roman or Roman period or the Iron Age.The name is locational from Borthwick in Roxburghshire.
There are many other tartans based on location.