It is absolutely possible to open a new store with a different email address. You can just sign up throughthis pagewith your email address of choice and create a new store. Once you've created it, you can then install the same apps by accessing them through theShopify App Store.
If you plan to manage and run both stores simultaneously, you may want to consider using the same account owner email address for both. When you use the same email address, you'll be able to switch between the two stores without having to log in and log out, making it easier for you to keep track of multiple stores. You can learn more about that featureon this page.
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