Absolutely, and if your car is Black, then you have the Faster Color too.
Don't be confused with the number of hoses on the "T". As there would be with any "T", there are actually 3 Hoses attached, not 2. Not sure I saw all of the hose(s) in your Picture at the beginning of this thread. As pictured below with the original hoses before I replaced them...1 hose comes off the Canister to the Tee and then the other 2 ports of the "T" has a Short Length of hose on the middle port and another hose that is a little longer on the 3rd port. Do you really need both hoses? Probably not since they both just vent to the atmospere but this is how I found them. If you look closely at the pic you will see they are the GM Hoses.
The other picture in the attached link is with the new hoses attached and tucked back in the Fender area how I had originally found them.
Well further to the mystery, when I replaced the fuel pump on this car I found that the tank vent was not connected either, like the line had been cut a couple inches up from the tank. This I fixed.
hmm I'm thinking that perhaps a previous owner had some drive-ability issues and was running rich and smelled like gas.
And perhaps made some modifications to hide the issue.
Its anone's guess what was done to the car over the years and by previous owners. Some of the stuff I've seen "rigged" by previous owners just makes you shake your head in disbelief.

The hose you mention I assume is back by the Trunk near where it attaches to the Sending unit or in that general area? It's pretty common for that hose to be off, whether removed and forgotten or just cut somehow, we've seen that issue before described by other members.
I've noticed some excessive pressure issues lately with my tank and suspect that the Charcoal Canister may be clogged or something. The purge solenoid can also become gummed up with particles/charcoal from the canister. I need to take a closer look at the canister since it is original.
I've seen threads on other Forums where they have rebuilt the Charcoal canister using pellets you can get from a Fish Supply Store. I have a spare canister I can swap on the car for now and may take a closer look at rebuilding one to see how it goes. I believe you can still buy these new but I'm a cheap SOB and will try to rebuild mine first.

If I do, I will post up a thread on whats needed and how to do it.
Edit - This thread has info on the hose you may be asking about. also a link in there to rebuild the canister. :>)
http://www.impalassforum.com/vBulletin/showthread.php?t=335513&highlight=evap+canister