Silverfish prefer high humidity and warmth. Ctenolepismacalvum (Ritter, 1910) was recently found in Japan at a temperature of 20-30°C and 50-60% RH. As long as there are pieces of bark, wet grass or other organic or human-made structures that retain humidity after each raining event, the likelihood that they will survive long enough to complete their cycle is high.
They could face dessiccation if they are not able to find a damp spot in time, depending on their tolerance to it. However, it was not possible for me to find information about their dessiccation tolerance.
The Zygentoma (silverfish order) have high tolerance to low humidity and most of the species inhabit dry and hot environments (it's just a few that like humidity), which again makes me think that those silverfish propelled out the window will survive.
References
Shimada M, Watanabe H, Komine Y, Kigawa R, Sato Y. New records of Ctenolepismacalvum (Ritter,1910) (Zygentoma, Lepismatidae) from Japan. Biodivers Data J. 2022 Nov 3;10:e90799. doi: 10.3897/BDJ.10.e90799. PMID: 36761636; PMCID: PMC9836529.
Kulma M, Bubová T, Davies MP, Boiocchi F, Patoka J. Ctenolepisma longicaudatum Escherich (1905) Became a Common Pest in Europe: Case Studies from Czechia and the United Kingdom. Insects. 2021 Sep 10;12(9):810. doi: 10.3390/insects12090810. PMID: 34564251; PMCID: PMC8471186.
Querner P, Szucsich N, Landsberger B, Erlacher S, Trebicki L, Grabowski M, Brimblecombe P. Identification and Spread of the Ghost Silverfish (Ctenolepisma calvum) among Museums and Homes in Europe. Insects. 2022 Sep 19;13(9):855. doi: 10.3390/insects13090855. PMID: 36135556; PMCID: PMC9505982.