No, normally you cannot attend a court outside of the jurisdiction in which you received the ticket let alone out side of the state.
Each state has different traffic laws, penalties for reckless driving, etc. So you will need to appear at the court listed on your citation to comply with the ticket. The money for the fine will go to Kentucky and the locality that you received your ticket in as well so you could not get the court appearance changed over to OH since KY has a different fine schedule and will be receiving the monies and determining the penalties for this offense according to their state laws, not Ohio's states laws like an OH court would rule under.
If you cannot attend court in Kentucky on the scheduled date you may see if you can change the court date or see if a lawyer can appear for you. In general though you are required to appear for court if jail time is a potential penalty for the offense you were cited for and it is a possibility for a reckless driving ticket in KY. For specific questions about your ticket and court appearance you should contact the court listed on your reckless driving citation.
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[Let CarInsurance.com help you find affordable auto insurance now.] Also keep in mind that Ohio and Kentucky are both members of the Drivers License Compact. This agreement requires member states to report traffic violations received by a motorist back to the state where the person is licensed. So the Kentucky courts or Cabinet of Transportation will inform the Ohio Bureau of Motor Vehicles about your KY ticket.
Information we have read in the past states that Ohio does not assign points for out of state tickets, but will place the violation on your driving record. Ohio has changed their violation points system in the last few years so you should check with the Ohio Bureau of Motor Vehicles (BMV) to find out for certain how out-of-state traffic violation convictions are now dealt with. | 
