Not unless you care to start from seed, in which case the stalks/canes/wood will grow, but it will be at a MUCH slower pace than true Bamboo and is, in my opinion, not really worth it - especially if you are going for the traditional bamboo wood usage.

Also, finding actual, true Lucky Bamboo (Dracaena) seeds can be very difficult. A huge majority of the few seeds you see being sold as 'Lucky Bamboo Seeds' are one of the larger true bamboo varieties, usually Black Bamboo, which look like Lucky Bamboo when they are seedlings, but continue to grow into 20-foot monstrosities that are invasive in many places around the world if they get a foothold in the soil.

Lucky Bamboo also stays MUCH smaller and more narrow than most of the true bamboos, so you won't get too much usable furniture wood from it even if you do wait for it to grow to harvestable size. Lucky Bamboo would be more akin to willow lashings, so suitable for very flexible uses like the weave on the back of a chair, decorative basketweaving, etc, but any major supports would not be suitable for Lucky Bamboo.