Does getting a little grumpy, upset or cross count as an argument? Because I would say the former happens in my relationship, but not really "arguments" as such. The main reasons might be minor disagreements / different priorities, and differences in the amount of attention each of us wants (I want lots, I am hyper affectionate/ sometimes irritating, a bit sensitive to rejection - whereas he can be more on the quiet, give me space, bit grumpy side).
The thing is that doesn't have to turn into an argument if neither of you wants one, you have ways to show your feelings early, sympathise with one another, and use affection and humour to solve differences rather than getting really angry. Neither of us has much anger, and we both prefer to solve things in a laid back way - which is probably the key reason we don't argue much/ at all (rather than there not being any potential problems ever). I don't think a couple has to have arguments to be "healthy" as we've been together 5 years and never better.
Some people are naturally argumentative though, and they may prefer to work things out in a more dramatic way, which is fine and might suit them. Either way it's probably better to find someone who sees arguing the same way you do, or you might not be compatible.
(I do worry we will start to argue as we're moving in together soon, and have never lived together before. I know that can be a strain for couples. I hate arguments so I'm just going to try hard to keep up communication and see how it goes. If anyone has any moving in advice?)