Ding ding ding ding. Not just that, but you have to affirmatively and unambiguously invoke your 5th Amendment rights. As in, "I wish to invoke my rights under the 5th Amendment of the United States Constitution to remain silent while my lawyer is not present, and I wish to explicitly invoke my 6th Amendment right to counsel." No weasel words, no maybes or I dunnos. Invoke your rights, and if they persist, invoke your rights again, and again, and again. It's the only way to save your ass before the lawyer arrives because the police are simply seeking to catch somebody, not the right person necessarily, and they will literally outsource the lying to the jailhouse snitch to make it happen, amongst other tricks. You can't explain your way out of a situation where the police feels that you are their best shot at getting a perp walk arrange ASAP. Your lawyer can though.