No. President Trump claimed Gov. Spanberger "is adding so many Taxes" like a food/beverage tax, digital services tax, and utilities tax. Those were Democratic proposals introduced in the VA General Assembly this session—but none passed both chambers or were signed into law by her.
Official records and her signed bills show the opposite: measures to cut drug costs, boost affordable housing, protect families from energy fees, and create jobs without those tax hikes. She's vetoed other bills too, but no new taxes matching his description.