Everyone dreams, everyone can have lucid dreams. If you are able to ask yourself on a regular basis “Am I dreaming?” you can have a lucid dream.
Medication and drugs do not effect your dreams; if you can become aware of your surroundings during the day, you can become aware in dreams.
The only possible way I can see where medication might interfere with lucid dreams is by taking something that suppresses REM-sleep, but I believe it would still be possible.