Yes definitely, it is possible to create CloudShell without a driver irrespective of using ShellFoundry.
In order to remove the driver from being attached to the Model of the Shell, open shellconfig.xml file located under datamodel directory for editing.
Then remove Driver attribute from the ResourceTemplate XML node:
<?xml version="1.0" encoding="utf-8"?>
<ShellsConfiguration>
<ResourceTemplates>
<ResourceTemplate Name="ShellWithoutDriver" Model="ShellWithoutDriver">
<Description></Description>
<AutoLoad Enable="false">
<Description>Description for autoload </Description>
</AutoLoad>
<Attributes>
<Attribute Name="User" Value="" />
<Attribute Name="Password" Value="" />
</Attributes>
</ResourceTemplate>
</ResourceTemplates>
</ShellsConfiguration>
I hope it would help you resolve your query.