Does medication you take seep through your pores and leave traces on your skin like salt, garlic etc does?

I know that we sweat through our pores and our skin then tastes salty. Also that certain foods seem to do the same, the obvious one being garlic. What I really need to know is does the same thing happen with any medication you take. Are there traces of the ingredients left on the skin?
It probably seems like a wierd question but there is a very good reason why I ask this.
I have to take a lot of prescribed medication, some of them strong painkillers e.g. Tramadol and Morphine (Tablet form). I am only concerned as my cat has just started the habit of licking my skin while I am asleep and I am concerned as to whether she could be harmed because of the medication I take.
I really would appreciate any help you can give me as I don’t seem to be able to find an answer to this anywhere so far.
This is only my second question on here as I only found this site three days ago. It’s a brilliant site and have been surprised and grateful for the amount of responses I have had and the way in which my question was received.
As I am new to this if anyone has any comments about my style/length of question/too much or too little detail etc. so I get an idea if I’m doing anything wrong I would also appreciate that too.
Many thanks

Rainbowspirit :o)