Yes, it is possible for the botox to affect your blocked tear ducts. The blockage of the tear ducts may result from an infection in eyes or poorly formed ducts, injury or medication use or other things. As we know, the tear ducts sit near corner of the eyelids which is close to the part of nose. Sometimes the duct may have the blockage which will cause a person to have excessive tearing and frequent eye infections. Besides the surgery which could help you cure the blocked tear ducts, there are home remedies for you to do. You could do the massage to help the blocked tear ducts. You could keep on doing the massage gently on the nasal corner of the eye a few times every day. It may help break up the blockage. In addition, the botox may also affect your eyes vision. You should not get the botox which will be bad for your eyes.