From where I sit this is sort of what SpaceX is doing right now, only more complex (depot, tankers) and trying to stretch their existing and flight proven technology further (transfer of cryogenic fuel/oxidiser in microgravity, multiple re-lighting of vacuum optimised engines, minimising boil-off in a hard vacuum, docking massive spacecraft, …).
Nothing really exists yet except the booster, and that’s a long way from being mature, reliable and powerful enough.
Then, getting the stack rated for crewed flights. Not for the tankers and the depot, obviously, but those have to be very reliable too, otherwise the tight launch cadence can’t work.
Sure, a lot can be done parallel - if they have the resources, i.e. engineers and test/launch sites.
But a crewed Moon landing using Starship? Not within this decade.
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