It depends on the mobile network operator and their policies. Some operators may allow you to port your existing phone number to an eSIM, while others may issue you a new number specifically for the eSIM. You should inquire with your operator about their number porting options for eSIMs.

Remember that the availability and specific details of local eSims may vary depending on your location and the mobile network operator you choose. It's always recommended to contact your operator or visit their website for accurate and up-to-date information regarding local eSIM services.