No,
You will need to show a performance qualification. You will also need to have a reference letter from your employer to verify you are engaged as an instructor and have met that institutions instructional methods requirements and you will also furnish a recommendation and evaluation from that administrator.
A CWI does not need to be a welder.
A CWE most certainly does.
You will be able to skip some of the written examination requirements by virtue of having passed your CWI exam.
Here is the link with all the information you will need.
https://www.aws.org/certification/detail/certified-welding-educator-programHere is the link to AWS QC5 The governing specification for CWE
https://www.aws.org/library/doclib/QC5-91.pdf