No. The temperature required to break the polar bond between the adsorbed moisture and the pores of the sorbent material is far too high and would melt the plastic.
You can dispose of used Dry-Briks in regular household trash. The plastic used in a single Dry-Brik II weighs about 3 grams. The average user will go through only 85 grams of polypropylene in five years. The desiccant itself is a clay-based product so it is inert. We recommend against trying to separate the plastic from the desiccant for recycling purposes.