Yes you can! Many online casinos give players a casino bonus that can be played with online slots. You can also play most of the Thunderkick slots with bonus money. Some online casinos exclude certain slots form bonus money, which may also include Thunderkick's 1429 Uncharted Seas.
The bonus terms and conditions will give you more information about excluded slots, so make sure you read them carefully. You may still be able to play the slot with bonus money, but it may not contribute to the wagering requirement, or the casino may void any winnings from bonus money.