Understanding that filing via electronic means could cause undue hardship or significant prejudice for one or more parties, there is a way to request exception to or exemption from mandatory eFiling.
In California...
Pursuant to California Rule of Court 2.253, a party may submit an application for exemption from eFiling.
Request for Exemption From Mandatory Electronic Filing and Service
Order of Exemption From Mandatory Electronic Filing and Service
In Illinois...
Choose from the available forms to submit your application for exemption from eFiling.
In Indiana...
If you have good cause to be exempt, you must file a motion requesting exemption in each pending case.