Can the needle have popped my implant?

Yes, it is possible that the needle struck the implant. An MRI might give you some information about the implant, but if only a little leaked out of the shell, it might not be possible to tell. I would see your plastic surgeon very soon. They would be able to tell you if the stuff you see is silicone gel.

Thank you for sharing your question.  Without photographs or an inperson examination it is difficult to offer definite advice and I would counsel you to see your plastic surgeon in consultation to discuss your concerns.

It is possible that your implant may have been ruptured. This would depend upon how deep the needle went.  You should see your plastic surgeon.

Sure, any time a needle is used in the vicinity it is possible that it could puncture an implant. Hopefully, the injection was performed superficially and well away from your implant. See your plastic surgeon without delay to have this evaluated.

Certainly this is technically possible but impossible to know over the internet unfortunately.  I would go back to see the dermatologist and also go see your plastic surgeon.  They will probably want to get you an ultrasound or MRI.  Good luck!