No because not everyone is arrested for petit theft. You would know if you were arrested. If you have not been to the jail then you can answer no to the arrested or conviction questions.
Here is the rule of thumb: if you have not been arrested, booked, processed (meaning fingerprinted and photographed for a mug shot) you have not been arrested.
Now, may you be charged with a petty offense without an arrest? Yes.
Is that an evidence of guilt? No.
Do you need to disclose any prior convictions with any pending petty charge? No, because the case is not completed and there is no disposition of any sort to know whether it will result in conviction. The case maybe stricken on leave, nolle prosed, (which means dismissed in vernacular) or may result in an acquittal.
If you are still confused, please seek further clarification with a local criminal defense practitioner
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