Can we copy or clone few custom fields of an Object (rather than the whole object) in BOFC?

Yes, BOFC Clone Field feature can help you Clone a specific set of fields

Experience it for yourself

Bulk Object Field Creator (BOFC) is a must-have tool, designed specifically for Salesforce.com Administrators, that simplifies many of the tedious tasks of managing a complex Salesforce environment.

This tool is available on Appexchange and Click on below button to install the
latest version of BOFC

or learn more