Yes, it looks like bacterial speck. You can use a copper-based fungicide to help prevent it from occurring on other fruits, but it won't help fruits that are already infected.

Copper-based treatments are about the only thing available to the home gardener for treating bacterial diseases. Other fungicides will not work on bacteria.

Speck should become less common as summer gets well underway, as it likes cooler weather. The tomatoes are fine to eat, so long as you don't mind the speckles, though they will be harder to peel for canning.

--Alison