Yes, your pension is taxable by your resident state regardless of where the pension originates (unless specifically excluded from income by that resident state). So, for the 4 months that you were a NC resident, the pension that you received during that time will be considered to be taxable income for your NC return.
NC does have some retirement plan exclusions that are available (the Bailey exclusion), but it applies only to certain Federal or NC retirement plans. Your GA state pension would not qualify.
To read more about what retirement plans are excluded from income in NC, use the following link and see page 17:
NC
Individual Income Tax Instructions
[edited 3/15/19 | 8:51 am PST]
