Yes - all remaining time with your previous provider will be transferred to ORC Web Hosting. For paid domain transfers, you will also receive a 1-year extension when you switch. If the domain transfer is free, such as with a .ch or .li domain, the remaining time will be kept.
Click here for all domain prices: Domain prices transfer and registration
With the Domain Checker you can find out whether a transfer is free of charge or subject to a fee.