Language is fluid and constantly evolving. Literacy[0] shouldn't mean whether you follow some set of punctuation rules at all times, but whether you can infer the meaning and intent of messages, and whether you can compose messages that allow recipients to do the same, both without much effort or discomfort on all sides. Acronyms and punctuation are just tools to this end. If others 'get' what you're trying to say and consider it appropriate language in different contexts relevant to your life (you want the ability to use different language in professional vs personal settings, to actually use established grammatical rules in formal settings,...), then I'd say you're literate. Using emojis, acronyms or writing things like 'Hey u coming?' in appropriate settings doesn't negate that imho. Acronyms are in fact extremely common in professional settings too, and emojis increasingly so, at least in my experience.
Slightly provocative question, given what you've said ("without abbreviating anything"), would you actually spell out the acronym RSVP in a formal invitation? It's very common eg in Britain, it's definitely considered good form, and spelling it out would just cause confusion since it's actually a French term that most people probably wouldn't recognize (répondez, s'il vous plaît). What about i.e. (ita est)? E.g. (exemplum gratum, although some might argue it can also stand for example given)? You might say you just avoid those terms, which is possible, but I have a suspicion that you're just fooling yourself. Since you're on this site, I might also ask whether you always spell out the Domain Name System (DNS) and similar terms? If you did, you'd actually make your messages less understandable to most audiences, detracting from your literacy I'd argue.
[0] My opinion here, I'm not a linguist, so if this clashes with established definitions of literacy, my apologies.
Edit: I actually had a look, and of course you are fooling yourself. According to your comment history, you actually use abbreviations all the time, including ones that are unknown to me (ITAD company, SEE), making whatever point you were trying to make lost on me without research effort: https://news.ycombinator.com/item?id=35273712#35276691