If you want this togetherness of course you can, because it is your choice. However I agree with Erin -that having been together with my partner for 14.5 years- that our relationship seems to be working best when we pursue our own interests/hobbies etc, eventhough we might be able to do some joint ones like hiking

, but that we have the same overall goals like what we are working towards and our deep down believes etc.
One friend of mine described it like this: in a partnership you are not half of a circle, because then one half would tumble down if the other half went in a different direction. Instead if you 'see' yourself as one circle, you would make that own circle stand, choosing to entertwine with another circle if you wanted to (partner). But on your own you are still stable and (hopefully) happy. Well you get the idea and I have found that to be true.
PS: I wouldn't be happy with a partner either who wanted to do everything what I did or vice versa, it seems too klingy and 'pitbull smoking syndromy' to me...

(no offence, you know what I mean)