UPDATE: I have created a video on sending multipart/form-data requests to explain this better.
Actually, Postman can do this. Here is a screenshot
Newer version : Screenshot captured from postman chrome extension
Another version
Older version
Make sure you check the comment from @maxkoryukov
Be careful with explicit Content-Type header. Better - do not set it's
value, the Postman is smart enough to fill this header for you. BUT,
if you want to set the Content-Type: multipart/form-data - do not
forget about boundary field.