I have been stationed on san diego. I left for deployment and was paying for storage. can I claim this?

Yes, storage fees during military deployment are tax deductible as moving expenses. 

TurboTax will ask you why you moved... the program doesn't distinguish between PCS orders and deployment - indicate that you are a member of the armed forces and moved due to PCS anyway - to enter storage expenses (see pic).

Turbo Tax data entry:

1. Type moving expenses in the search box (see pic) and hit enter - you must be logged in and IN your tax return
2. Select Jump to moving expenses blue link

OR:

1. Federal Taxes
2. Deductions & Credits
3. Other Deductions & Credits
4. Moving Expenses - follow the interview questions