Can I grow jalapeno peppers from fresh seeds, not dried?

For years I have grown plants from the seeds of dried up jalapenos I set aside in the winter and fall. I bought more than I can use, I set them aside and they shrivel into hard red fingers. In the spring I cut open the shells and shake out the seeds and grow plants.

In an April kitchen cleaning, I threw out my desiccated jalapeno leftovers.

Can I grow new plants from the seeds of my plump green store-bought peppers?