Welcome aboard!
I would think that the Verlinden parts could be used on any of the more accurate kits and that you shouldn't have a problem on the Tamiya 109. To be sure, you could check the product literature as it usualy states what kits the products can be used on. If your set says it's only for Hasegawa, I would think that you could still make it work for Tamiya with some minor filing/sanding.
Looking forward to seeing your stuff.