Yes—nine times out of ten you'll be able to request the same reader.
Sometimes our readers take some time out to work on their own projects, but if they're not available this will be noted on the form's drop-down menu as you submit your script.
Alternatively, shoot us an email to make sure they're available before purchasing.
The advantage of using the same reader is that they're already familiar with the script and so can track how it's progressing and work with you to make it better.
On the other hand, it can be good to use a different reader if you'd like a fresh pair of eyes on the material and a whole new approach to tackling the rewrite.