Not reliably, no.
For some background: I'm not a weapons expert by any means, but I have trained in a few martial arts in my time, including one that did include specific use of sword-catching weapons like the sai.
What makes a weapon a good sword-catcher?
Take a look at a sai and notice what's different about it in comparison to your blades. Take a look at the hook sword and the jitte, as well. See the common features?
When you use a sword-catching weapon to block or parry an attack, the weapon should ideally funnel the weapon from the largest part of the weapon into the sword-catching part. This means that when you are using a sai, the opponent's blade can strike at any point along the sai's length and it will naturally be funneled into the severely hooked crossguards. This greatly increases the margin of error for successfully catching a weapon. The hook sword does this differently, funneling an opponent's weapon into the hook at the end rather than the base, but it's the same principle. Large blocking surface, small catching area.
What makes this weapon different?
With that in mind, what is your opponent striking on your staff-blade that will funnel the attack into a trapping point? Because if you're expecting them to just stab into the enclosed holes, you have a lot to learn about how actual fighting works.
The central hilt part may present a possibility, though, if you held the weapon in staff mode at either end and then tried to slide an attack towards the middle. This would also theoretically give you a lot of leverage against your foe's weapon. However, the problem here is that the blades all around you would greatly limit your range of motion for attempting to twist the opponent's weapon and attempt a disarm. This isn't even a matter of your warrior-monks accidentally stabbing themselves - it's just plain cumbersome! The inability to freely slide your grip or bring the weapon in close to your own body would be massive liabilities.
How could it be improved?
In your original post, these blades are made of lasers. If you could turn off parts of your laser sword and then re-activate them after the opponent's weapon has struck the haft, it would immediately trap the offending attack. See my original answer on your original question for other benefits of selectively turning off your laser sections.