I was able to get a second card for Trix, but I did make one big mistake of not using the same birthdate I used for her first one. That caused all kinds of confusion. My pharmacist was able to push it through after spending much time on the phone, but the fine folks at Solostar wanted to speak directly to me, too. I never got around to calling them because Trix suddenly went OTJ thanks to (ironically) a sudden bout with pancreatitis and I haven't had to refill since then. So, I don't know what would have transpired during that conversation.
At the very least, it doesn't hurt to try to get a new one...the worst thing they can do is say "no".