This sounds suspiciously like a troll, but...
It depends what you mean by secure....
It is reasonable to use either DB for your web applications, since they
should both be tucked away in a non-web-facing part of the server, in which
case access to your server is the issue.
They are equally vulnerable to threats like SQL injection, and both can use
the same techniques to minimise these risks.
Basically, neither of these DBs (or any other for that matter) should be
placed in a position where their in-built security matters.
However, in performance and scalability terms, 'proper' DBs like MySQL are
much better than Access (which is little more than a desktop/office tool)
CJM