yes this is possible. tests are not 100% accurate. it would be wise for both parties to be treated whether they tested positive or not. and more importantly condoms should be used to prevent future stds. yes it is possible for female partner to test positive and other negative. your doctor will advise treatment regime for both the partner simultaneously even if the test is negative for one of the partner. follow all preventive measures to avoid stds once the treatment is completed.
is it possible for the female to test positive for clamyida and her partner tests negative?