Alas I can not really shut off science mode and thus this is a fairly silly what if
Play has been seen in countless longer lived species and is an evolutionary asset. Some might say it is more of an adolescent thing but they would be wrong, especially in humans.
Things like chess are often said to have sprung from war simulation/retelling methods. Abstraction is also a fairly necessary thing (see also language) and that is the root of games.
Gaming is tied to a very useful area of maths (see game theory), such things also have an incalculable influence over the stock market.
This then leaves me either being in some puritanical state or without several modern inventions. However most puritanical environments tend not to be the best for scientific development so they might be one and the same. Most such states really aren't though and I would like to believe I would be one of the fight the power types there.
I suppose there might be another one where there is no excess resource creation (probably through famine or something), however one of the most famous gaming stories in history (or perhaps legend) comes from such a period, see knucklebones.
Still if computer games had not caught my interest.... probably not learned computers beyond "how to word process", probably not learned electronics, in turn not cared as much for maths and done whatever the maths equivalent of learning word processing is (no job in finance or anything). It would have also impacted upon my desire to do anything science or engineering related..... even the desire to learn history would have been impacted.
I would probably have been and English language student or linguist of some other form.... however being a boring bastard for not knowing any of the above there would be precious little I could do with it. That might even be a stretch and all I would have done was stack shelves.
I can not picture a greater horror.
Fortunately I was given a NES, a toolkit and one of those little electronics experiment kits with the springs when I was very young.