It is possible, but not recommended. Vitrification of eggs that have been previously thawed will only be performed in cases of force majeure, for example, when it has not been possible to obtain sperm for insemination. Normally, when eggs are thawed it is for use in an assisted reproduction treatment. These eggs will be inseminated and embryos will be created. These embryos can be re-vitrified without any problem.
Re-vitrifying an egg that has just been devitrified would increase the osmotic stress, and although it is possible to do so, it is also possible that an egg could be damaged in the process. It must be taken into account that the ovum is the largest cell in the human body, and therefore, the most sensitive in the vitrification and devitrification process.