Orient your hand/camera exactly as you have it in the above photo, Now, if you apply gentle pressure along the axis of the pin, can you feel any movement like any slack or tension being taken up? If yes, you should be able to "pull" the assembly towards yourself and tilt the hood away. If there is no "slack," it is likely permanent.
It's been quite a few years since I've had any version of a Technika. I hope someone more versed can advise you better.
There's a Technika manual posted online that only says "... Focusing hood can be swung open to permit use of ground glass magnifier..." that wording does not sound promising.