Can you compost zeolites and add to organic vegetable garden safely?

No you can not compost it - composting is the breakdown of plant and animal materials (ie organic chemicals). Zeolite is a natural mineral/clay.

However you can add it to you compost heap and soil - it is positively beneficial as it hold onto Nitrogen/ammonium, releasing it to plants. Zeolite is commonly 'loaded' with nitrogen fertiliser ans sold as a slow release fertiliser.

Ensure you mix it into heap - a thick layer will block your airflow