Can you do these things you asked?
Yes, Access can use something other than Outlook.
Yes, Access can do what is required for direct mail-out on its own, assuming you have the right interfacing software and a knowledge of TCP/IP programming at the socket level.
Is it wise?
To use something other than Outlook? Probably OK if you can find an acceptable alternative that meets your needs.
To do it all yourself without a third-party substitute for Outlook? A little (or a lot more than a little) tedious - and possibly no better in terms of security or usability.
How to do it?
Part one of your question is that you need to find some other mail utility that exposes functions through the Component Object Model that is the core of Active X (a.k.a. Automation Objects). If the third-party package exposes what you need through COM, you can activate some method that mails out files with or without attachments.
Alternatively, if you have something that would send mail at the (MS-DOS) Command prompt, you can create a shell script and use the Shell command to trigger the mail-out.
Either of these solutions would avoid the use of Outlook.
Part two of your question (staying entirely within Access) - well, if you are willing to do some Winsock programming, you could do it, but SMTP is not the world's nicest protocol and the error handling requirements can get nasty. You need to search the Internet for one or more RFC articles for POP or POP3 protocols in order to see just how big a task this is. RFC = Request For Comment, the "official" way used for explaining how TCP/IP works. Be warned, there are literally THOUSANDS of RFC articles. Probably several HUNDREDS will apply to mail.
I wouldn't do part two myself. I might consider using an alternative mailer utility, but not rolling my own from scratch.
Other than its terrible security reputation (well-deserved), is there a specific reason you DON'T want to use Outlook? You know you COULD just try to patch that hummer to bring it up to the required security levels. Microsoft has patch sites you can visit to download required patch files. As ugly as Outlook can be, at least it integrates well with Access. ("Integrates well" being a relative term in this particular usage, you understand...)