I have a MongoDB running on my machine locally with a few collections of data. I want to migrate it to Atlas, but the Live Migration Services are not available for the Free Tier. Is there another way to move the data I current have on my machine to Atlas?
You can use mongodump and mongorestore option.
mongodump --host x.x.x.x --port 27017 --db dbname --gzip --out  /data/
mongorestore --host x.x.x.x --port 27017 --db dbname --gzip /data/
Take mongoDB dump from your machine and restore it to the atlas.
Migrating a MongoDB on a local machine to Mongo Atlas