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import * as pulumi from "@pulumi/pulumi";
import * as gcp from "@pulumi/gcp";

const auto_expire = new gcp.storage.Bucket("auto-expire", {
    name: "no-public-access-bucket",
    location: "US",
    forceDestroy: true,
    publicAccessPrevention: "enforced",
});

The first time I did pulumi up it created a bucket and when I again run pulumi up with a completely different bucket name instead of creating new bucket it rename the previously created bucket what am I missing here?

Pulumi identifies the resources via their resource name, which in your case is "auto-expire". So if you change the name of the bucket, Pulumi detects that your resource "auto-expire" is now a bucket with the new name, and thus renames your existing bucket to the new name.