Yes. If you meet all the requirements, you can apply for the Colorado Property Tax/Rent/Heat Rebate even if you received a partial exemption/credit on your county property taxes.
The Form 104PTC booklet says:
Enter the total amount of property tax you paid, if any. DO NOT include any supplement/assistance that was
paid by the Senior Homestead Exemption. Include only taxes that you paid in the calendar year 2022.
See: 104PTC Book