Send email using wordpress plugin on behalf of someone with their permission

I have seen a few sites that send an email on behalf of a user, however when the email comes through it appears only as if its come from the user. For example contact forms on websites.

I am looking to do the same thing but obviously with the users permission. Is this possible to do in Wordpress or similar services available that won't go to the spam/junk folder?

Ideally the from/replyto email address should appear from the user and not get blocked i.e go through the right servers as long as I have their permission.