Yes, for paid-tier resources.
No, for free-tier resources.
For free-tier (F0) resources, only the first two pages are analyzed whether you're using Document Intelligence Studio, the REST API, or client libraries.
If you want to analyze all pages in a document, change to a paid (S0) resource. In Document Intelligence Studio, select the Settings (gear) button, select the Resources tab, and check the price tier to use for analyzing your documents.