Can loss of cervical lordosis cause serious pains in the hand?

No but what may be : Causing the cervical spine to lose its natural alignment could be such as a disc herniation or foramenal stenosis or both. By decreasing the degree of lordosis, there may be more space made available to lessen pressure on a pinched or compressed nerve that may be the cause of the pain in your hand which can be demonstrated by a ct ormri scan of the cervical spne.