Is there a specified order for data replication among different partitions in Cosmos DB?

Question

I have 1 write region (e.g., US), and 2 read regions (e.g., US and EU). I have a collection, and I want to write into it, using different partition keys. I wonder, is there a specified order for data replication among different partitions in Cosmos DB? If I am not mistaken, according to Consistency levels in Azure Cosmos DB, the order is specified only within the same partition key. Is it correct?

For example, is it possible to have the following case:

1. I write an object 1 with partition key 1 in US region
2. I write an object 2 with partition key 2 in US region
3. I read an object 2 in EU region => found
4. I read an object 1 in EU region => not found