The short answer is yes, but there are certain restrictions that must be followed. Crochet hooks are considered sharp objects, hence they should be placed in checked luggage. However while they may be carried in your hand luggage, they must be placed in a secure, hard-sided container that is secured.

Yes, you are generally allowed to knit or crochet on an airplane, as the TSA and most international security agencies do not classify knitting needles or crochet hooks as prohibited weapons. However, the final decision always rests with the individual security officer at the checkpoint. To minimize issues, it is highly recommended to use wooden, bamboo, or plastic needles rather than metal ones, as metal is more likely to trigger an alarm or look "menacing" on an X-ray. It is also wise to bring a self-addressed stamped envelope just in case an agent asks you to surrender them, or use a "lifeline" (a piece of scrap yarn) through your stitches so you don't lose your work if the needles are confiscated. Avoid bringing large, sharp scissors; instead, use a thread cutter or small embroidery scissors with blades shorter than 4 inches. Always be mindful of your seatmate’s space, as "elbow-heavy" knitting can be a bit intrusive in a cramped economy seat.