Definitely - the primary stat (or a game-changing feat) is usually the focus at level 4, as it should be.I tend to agree with @BookBarbarian, though, that it would be rare indeed to want to boost a tertiary score at level-4 at the expense of a primary score. I think that generating scores randomly and the limitations imposed by standard array call into question whether that’s always the case.
That said, 16-14-14 is very doable both with the standard array and point buy, so if having a high AC is important to your character and they have medium armor proficiency, chances are they will wind up with a 14 Dex at 1st.
Of course not all players will choose to maximize AC and so may prioritize other secondary / tertiary stats, but I've yet to meet one of these players at any table I've been at. I imagine the major role of combat in most D&D games has just a wee bit of influence on this.