Can I create hanging indents in text fields in eDocBuilder templates?

Yes. It is possible to use the <list> and <itemindent> tags together in a block of text to create hanging indents. This would be done on a text field that was set for Data for this field will come from: Field Scripting or Static Text. The <list> and <itemindent> tags would be used in the Field Scripting tab for the field.
 
 
The htmlscript code used above is shown below, as well as a picture of how that looks when previewed in the template Note that the field reference @inputfield@ would need to be replaced with the name of the field in your template, or whatever text would be the hanging indent paragraph for your template.
<list>
<font><stylerun linespacing='1'>1&nbsp;<itemindent>@inputField@</stylerun></font><br>
<font><stylerun linespacing='1'>2&nbsp;<itemindent>@inputField@</stylerun></font><br>
<font><stylerun linespacing='1'>3&nbsp;<itemindent>@inputField@</stylerun></font><br>
</list>
 
Note that the <stylerun> tag is not necessary for the hanging indent itself, but can be used, for example, to control the linespacing of the individual hanging indent paragraphs. So changing the linespacing value in the stylerun to different values, produces different linespacing in each paragraph in the hanging indents.
<list>
<font><stylerun linespacing='1'>1&nbsp;<itemindent>@inputField@</stylerun></font><br>
<font><stylerun linespacing='2'>2&nbsp;<itemindent>@inputField@</stylerun></font><br>
<font><stylerun linespacing='3'>3&nbsp;<itemindent>@inputField@</stylerun></font><br>
</list>
These tags are all listed in the article Ch. 033 HTML Tags for Field Scripting for further reference.