Not exactly. If you make your own e-liquid, then the bottle of pure nicotine you would have around to mix into your e-liquid is toxic enough to send a kid to the hospital from skin contact alone.
If you buy pre-mixed liquid, the nicotine level will range from 0-36 mg per bottle. If a child ingested the e-liquid in any quantity, it could make them ill- possibly seriously ill if the child is young and the nic level is high.
I buy pre-mixed with 9mg of nicotine and I keep mine stored safely as I would with alcohol or any other chemical in the house that I don't want my kids getting into.
Thanks for the correction. Apparently I misunderstood.