Can you get adrenal insufficiency with any kidney disease?

No. The adrenal glands sit above the kidneys. Adrenal insufficiency is not typically associated with kidney disease because the kidney doesn't influence cortisol production in a significant way. However, if a patient is on steroids for immunosuppression related to kidney disease then adrenal insufficiency may be a concern when steroids are weaned. This is well known and monitored closely by doctors.
Change to "no" Although the adrenal glands sit on top of the kidney, they are totally separate and are not otherwise related to the kidneys. Destructive kidney disease like cancer or infection could spread to the adrenals. There are many causes of adrenal insufficiency including but not limited to genetic disorders, infections, tumors, and suppression by steroid drugs if taken in a significant dose over time.