Not likely. Unless your employment/independent contractor agreement with your broker specifically says that you can keep them, you must leave them.
Even if your agreement says they can go, you must give the consumer the choice. Don’t just automatically switch them.
Most state’s license law reflect that buyers and sellers are in agency agreements with the designated broker, not the sales agent. Nationwide, the REALTORS Code of Ethics (Article 16 Standards of Practice 16-20) says that you shall NOT INDUCE those clients to cancel their agreements with the brokerage firm.
In addition, by inducing or just encouraging a consumer to violate their agency agreement, you have interfered with a legal contract. In every state, this is against the law.
So, read your agreement with your broker and carefully consider how you might handle these conversations with the consumers. Best practice is always to be honest with all parties involved. Meaning, the broker and the consumer. Don’t just sneak out in the night with a box full of files. It will come back to haunt you.