Not without editing the source. The PM icon won't show if you don't have a PMS configured, but then you'd lose PMS capability. There are no unique CSS classes so it wouldn't be possible to hide using CSS without using complex selectors. The below CSS3 will do the trick, but please keep in mind it's CSS3 and only would function on modern browsers.
Code:
.connectionBox div:last-child a[href*="task=userProfile"],
.connectionBox div:last-child a[href*="task=new"] {
display: none;
}
Another option is to remove ALL the icons except for online status. This too is CSS3; example as follows.
Code:
.connectionBox div:last-child a {
display: none;
}