Answering this needs the transit duration and the ambient temperature, and then the arithmetic is straightforward.
A single phase-change pack in a thin-walled box holds below ten degrees for roughly one to two days at twenty-five degrees ambient, and under a day at thirty-five. On a nine-to-fourteen-day lane the material is at ambient for most of the journey whatever was packed with it.
Once the parcel arrives, the domestic leg is the controllable part: get it into the refrigerator promptly rather than leaving it in a warm hallway for a day.
Solid-state stability of lyophilised peptides at ambient temperature is documented in formulation studies with residual moisture as the dominant variable.
The domestic leg is the part you control. Refrigerate it promptly.
edited 15 Nov 2025 by marta_okonkwo — added the citation requested in comments