Yes, particularly to Level 5 and above.
- Consulting FIT part = similar to Amazon´s Leadership principals behavioural questions
- Consulting BUSINESS CASE = similar to Amazon´s cases
However, Amazon´s process is different (1st phone screen and then in-house loop with 4-5 interviews in a row) and includes parts that consulting firms don´t (related to retail, etc.) Hence, Amazon process is more holistic (touches more topics) but less in-depth.
Hope it helps, PM me for more details!