No if they are making you get in their vehicle, do it. They only need a warrant if the crime did not happen in their presence. They only have to read Miranda if after arrest they want to interrogate you.
Miranda only has to be read if there is post-arrest interrogation. Most cops are trained to get everything they need out of your mouth "prior" to cuffing you, so Miranda rarely applies.
In short yes. For example, if the officer has probable cause to pull your vehicle over, then suspects that you may be under the influence of alcohol or drugs, he can begin a DUI investigation (which can include field sobriety tests done outside of your vehicle). To answer your second question, an arrest can be made without a warrant. For example, you can be arrested for DUI without an arrest warrant. You can also be arrested without your miranda rights being read. Although if this happens, your attorney may be able to suppress statements made after the arrest.
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