Yep, looks like that is the breather hose that connects to the PCV valve.
Don't quote me on it, but it
looks like maybe this is it? (#12261 in the diagram)
https://autoparts.toyota.com/products/p ... 20#popup-1
I had to replace this hose on the '03 when it split on the PCV valve side, I too struggled to find a suitable replacement. Nobody except Toyota seemed to have that hose, so I tried to make my own. I then discovered what was so special about it - one side of the hose has a different diameter than the other. Not sure if it's like that on the 2nd gen Vibe, but I thought i'd point out that annoyance just in case. I probably could have rigged something up with different size hoses and some sort of connectors, but I gave up and just bought the thing from Toyota.