Yes, you can, provided that your Pennsylvania tax on that income is greater than zero. For the portion of the year you were a Pennsylvania resident, all of your income is taxed in Pennsylvania regardless of where you earned it. You are also taxed in Delaware on any income you earned there, regardless of where you were living at the time. To offset this double-taxation, your resident state (Pennsylvania) will give you a credit for the tax you must pay to the nonresident state (Delaware) on the income you earned there. However, the credit will never be greater than the amount of tax that your resident state assesses on that income.
One other point is that if you were a part-year resident of Pennsylvania, this credit will only apply to the portion of the year that you lived in PA. It will not apply to the portion of the year that you lived in another state. If that other state was Delaware, only Delaware taxes that portion of your income.
{Edited 16:19 1/26/2019}
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