The short answer
Yes. The Magician is treated as an affirmative card, though the yes it gives is conditional in a way most short lists leave out. The condition is that the yes covers what can be done rather than what will be handed over, and those are not interchangeable.
Why the card reads that way
On the table in front of the figure are a cup, a coin, a sword and a wand: the four suits, meaning the full set of resources the deck recognises. One hand points up and one down. The card describes someone with what they need, in a position to act.
That is why it is read as yes. The affirmative is about capacity, not about circumstance, so it answers can this be done rather than will it happen. Those come apart often enough that the distinction matters. A reading of the Magician that promises an outcome has quietly changed the subject the card is on.
Reversed
Reversed, the usual readings are manipulation, or capability being misdirected, or a claim to skill that is not backed. Under any of them the answer weakens, and most readers give a no or a not on these terms rather than a hedge.
The reversal is one of the clearer polarity flips in the trumps, which is partly why lists that disagree elsewhere agree here.
Where yes-or-no readings come from
The binary reading is a modern layer over an older practice. Tarot interpretation as it was written down concerns itself with what a situation contains, and there is no historical mechanism inside the cards for converting that into a verdict. Someone added the verdict later because clients asked closed questions.
Which card gets which polarity is also unsettled. Readers assign them by feel, decks push the assignment around through their artwork, and two respectable sources will contradict each other on a card without either being wrong within its own frame.
A better question to ask
The question this card can answer is what you have rather than what you will get. Ask what resource in this situation is already available and unused, and the Magician gives a direct reply.
Asking whether it will work is a question about the future, and a card is not evidence about the future. Nothing on this site treats it as such. What survives the reframing is a checkable prompt: name the four things on the table in your own circumstances, and see whether the list is really as full as the card claims.