If the closet space qualifies as a home office and your principal place of business, then yes, the mileage from your home to the other location would be considered to be business miles.
Any space in your home can be considered to be a home office based on the square feet of the space. It does have to meet the regular use test and exclusive use test to be a qualified home office. This means that the closet cannot also be a closet. It must be exclusively used as an office space in order to claim all of the square feet of the closet.
Take a look at the following TurboTax help article to learn more:
The Home Office Deduction
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