Due to the wording of your question, I was unable to figure out what it is you're asking. My guess is, if a terrestrial tarantula doesn't burrow or if an arboreal tarantula doesn't climb up high, will it die. If that is indeed what you're asking, my answer is no, it won't die. Making sure your T has a proper enclosure, with food, water, ventilation, and the right level of humidity or lack thereof provides your T with everything he needs to be happy. I have terrestrial tarantulas that don't burrow, and I have arboreals that make web tents on the substrate. I think it ultimately comes down to the preference of your particular T. I have two l.parahybanas and one loves to make elaborate tunnel systems and the other has never dug more than a small hole. I hope I helped!
