Yes you can certainly overseed with Pennington Perennial Rye Shining Star TQ in your fescue lawn if you are looking to fill in bare spots and give some green up to the lawn before summer hits.
The most popular method of keeping a sod grass lawn green through a Southwest winter is to over-seed with perennial ryegrass, so the Pennington Perennial Rye Shining Star TQ would be a great seed to apply. The optimum time to over-seed your sod grass lawn in Arizona is during the first two weeks of October.