I was recognized as limited fit by the decision of the VLK, can I apply for ...?

If you mean appealing the decision, then yes, it can be done.

In the case of preliminary application of the pre-trial procedure, the term for a court appeal will be 3 months, which starts from the date of delivery of the relevant decision based on the results of the review of the appeal against the decision. In order to review the decision, you need to submit an application to the higher-level VLK or the Central Committee for the revision of the contested resolution (conclusion) of the lower-level VLK and add to the application all available documents issued by the military medical commission whose decision is being reviewed. The reasons for initiating the review must also be specified in the application.

In the case of appealing the decision of the VLK directly to the court, the term for appeal is 6 months from the day when you learned about the commission of the offense, i.e. from the day of the relevant conclusion of the VLK on recognition of your limited fitness (Article 122 of the Criminal Procedure Code of Ukraine).