No.
Sales tax is an itemized deduction. Unless you have enough other itemized deductions to exceed your standard deduction the sales tax will have no effect on your tax due or refund.
“Major purchases” that you can enter for the sales tax deduction include:
Motor Vehicles (cars, trucks, motor homes, RV’s, sport utility vehicles and off-road vehicles
Aircraft or boats
Mobile homes
Manufactured housing
Building materials for major home improvements
You cannot deduct: furniture, jewelry, home electronics such as TV’s or computers
https://ttlc.intuit.com/questions/1901222-which-deduction-should-i-choose-sales-tax-or-income-tax
https://ttlc.intuit.com/questions/2566624-how-much-sales-tax-did-i-pay-last-year
https://ttlc.intuit.com/questions/3148443-how-do-you-define-major-purchase-or-major-item-for-the-sales-tax-deduction
https://ttlc.intuit.com/questions/1900791-how-do-i-find-my-local-sales-tax
https://ttlc.intuit.com/questions/2566624-how-much-sales-tax-did-i-pay-last-year
States with no sales tax: Alaska, Delaware, Montana, New Hampshire and Oregon