When you take seeds out of the freezer, you should wait until the temperature of the seeds has fully adjusted to the room temperature and only then take out what you need. This is so that the frozen cold packet or whatever the seed packet has been packed into (jar or plastic box etc) does not pull moisture from the air which could get onto the seeds. To keep well in a freezer, seeds must be very dry and stay very dry. This is why a paper packet is always packed into a properly sealed jar or similar, before being put into the freezer, if available also with desiccant inside the jar or a bit of rice to act as a drying agent.
So refreezing the packet when it is fully warm and keeping it dry in the meantime is no issue. Of course you may decide to portion your seed stock into what you might need per year and then just take out one portion rather than portion from a larger packet, but you still need to let everything get to room temperature, not open a jar, take a packet out, close the jar again while still frozen, because just by opening cold it will have attracted moisture.