Is it possible to open an FOP in Ukraine without Ukrainian registration?

YES, when registering a FOP through "Diya", you can register without a place of residence. However, it is worth considering that after such registration, questions may arise from the control authorities, in particular, the tax service. When checking your place of registration in the tax office, questions may arise regarding the basis for the chosen address. To avoid such situations, it is recommended to have documentary proof of your residence at the chosen address. For example, if you rent an apartment, you should have a lease agreement, or if you own the apartment, you need a sales agreement. Therefore, if you do not have a place of residence, I recommend registering at the address where you actually live and have relevant documents confirming your residence, or plan to register at this address in the future.