It depends. To take a home office deduction, you must meet the requirements to be eligible: the office must be used regularly and exclusively for the business, plus it must be for the convenience of the employer and not for your convenience.
Also, note that job-related expenses are only deductible if you itemize expenses. And only the amount of job-related expenses that exceed 2% of your adjusted gross income are included as itemized deductible expenses.
See more information on deducting a home office below:
https://ttlc.intuit.com/replies/3302005
TurboTax will help you determine if your office is deductible (which would include the shared utility expenses).