Can I use Mongo DB for Star Schema type of Data Model?

‘Table of rows’ in SQL Databases equivalent to ‘Collection of documents’ in MongoDB. And Star Data Model can be represented as document with nested properties, like this:

{
  _id,
  totalA,
  totalB,
  dimentionA: {
    _id,
    dataA1,
    dataA2,
    ....
  },
  dimentionB: {
    _id,
    dataB1,
    dataB2,
    ....
  }
}

To put simply, your fact document will contain dimension documents as nested objects.
With this structure, you will not need to use any joins ($lookups), because every dimension is already joined to the fact data.

This scheme will be a perfect fit, only if the total size of such document will not exceed 16MB.

Check this OracleDB and MongoDB Comparison for more detailed overview.