You can obviously show custom fields on front end but you may have to do it yourself. Here is a tutorial that explains how to add custom field on the front end
if you've understood how it works, you will get able to add all fields (or even filtered fields). you can retrieve all custom fields related to a post using the following function:
you will get an array of fields which you can iterate over to create form fields in the metabox.
i've given you some hints which you can use as guide to implement yourself. i'm sorry as it is not possible to provide complete solution