yes it is. just a question of how?
I can't give a specific $ amount but if it is relatively inexpensive I would expense it. if not, then the question becomes is the shed a structure or a building?
If the shed is a structure that is not permanent in nature then you can use the 179 or bonus depreciation deduction for personal property to expense the entire cost the year acquired.
If it's a building then it is real property depreciable over 39 years
If it qualifies for a SEC179, then it's only worthwhile to expense it, if you actually have $10K of taxable business income to offset in the tax year you purchase it.
Most portable sheds, such as the one seen here at https://www.shedliquidators.com/products/10x12-Gable-Shed.html?keyword=&matchtype=&creative=31507156... may qualify to be expensed, or depreciated under SEC179.
But if you're looking at a $10K shed that sounds more like something that would become a permanent structure to me. The easy way to tell (at least in my county) is that if the shed increases your property taxes, then it's probably considered a permanent structure and would have to be depreciated over time.