No, the v-tec system should not cause a no-start, especially the actuator solenoid. The V-tec system merely changes the way the valves operate either max lift, duration or advance (i'm not too familiar with Honda's system) but a bad solenoid would either cause the "change" to always be in effect or never allow it. Check for spark, fuel pressure and make sure the valves open and close (visible thru the oil filler cap) when you turn the engine over. This will help you diagnose a no start.
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Not to bash on the last answer, but, the starter solenoid probably isn't at fault here. If it will start with the screwdriver then the starter solenoid is functioning. It either does or it doesnt. The answer lies in circuitry back from the solenoid to the ignition switch. You could have a bad ignition switch or neutral/safety switch.AnswerDefective starter solenoid.
If the key is on and the shift is in park you can safely start the unit by engaging the solenoid with a short jumper wire.
if it tries to start with out a keu when you hook up the jumper cables, you have a bad starter solenoid.
If your car makes a clicking sound when you try to start it, try to jump the battery. If that starts it, check the electrical system and if it was the battery, replace the battery. If jumping it does not fix it, have a mechanic look at it.
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