It depends. If you meet the income levels (less than $30,000) and the age of the child (0 to 5) meets the criteria and the child lived with you for more than 1/2 the year then, yes. TurboTax will figure the credit based on your dependent entries in the "My Info" section and your income entered in "Wages & Income".
Here is a link to an OR tax page discussing several OR credits available to families.
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