The short answer- in US and AustraliaThe quick and easy answer is “Yes, crochet hooks are allowed as carry-on items in planes in the US, Australia and lots of other countries”.
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Knitting needles are technically allowed on domestic flights in the United States, though the latest TSA guidelines recommend that needles be “sheathed” for the safety of inspectors (this wording makes them sound more weapon-like, don't you think?).
Both Canadian and United States Transportation Security Administration (TSA) sites state that you can travel with knitting needles and crochet hooks of any size and material. So this means whether you prefer plastic crochet hooks or metal crochet hooks, you're safe to add them to your bag.
I often try put the crochet hook inside a skein of yarn while I travel. Alternatively I put it safely inside a smaller bag together with other smaller items needed to finish the crochet project. If you do this it means that it's a smaller chance of losing the hook or needing to empty your bag to locate the hook.
Crochet hooks are not prohibited but if you carry scissors in your bag those could be a problem. I carry children's safety scissors because they don't have a point.
Knitting needles on International flightsCountries that officially state (in the flight regulations) that knitting needles are allowed. These include the US, the UK and Australia. Countries that explicitly prohibit knitting needles on flights. (Greece and other countries in the EU fall into this category.)