In answering your question as asked,
I need for to clarify that it depends on which
Moon-Jupiter aspect. It seems your question means natal aspects, but the answer would be quite different if it were Moon-Jupiter in a solar or lunar return, transiting Jupiter to natal Moon, transiting Moon to natal Jupiter, etc.
I don't think of a birth chart as necessarily
showing luck per se
. All lives are lucky and unlucky at times. I do, however, think of birth charts as showing whether one is better equipped to deal with fortunate vs. unfortunate conditions. Venus and Jupiter personalities are best suited to do well in comfortable, privileged, fortunate conditions, and don't fare as well during times of misfortunate. Mars and Saturn personalities are best suited to do well in uncomfortable, struggling, difficult conditions, and don't fare as well in conditions of comfort and ease.
That being said, I don't see anything in my notes that says Moon-Jupiter in a natal chart is particularly lucky. Drawn to nice conditions, yes. Needing acknowledgement that they are somehow special or important, yes. Generous and often structuring their lives to give to others, yes. But (perhaps because I simply don't look for this kind of thing, or perhaps because it isn't there) nothing in my notes says they are any luckier than anyone else.
And (even though I don't look for this sort of thing), I do have notes inferring particular luck to Sun-Jupiter, as you observed, though I often wonder if the attitudes around things don't give this impression more than something objective (How do you objectively assess luck?)
My standard interpretation for Sun-Jupiter natal aspects:
Generous, kind, warm, amiable, upbeat, tolerant. Visible self-confidence. Strong need for acceptance and friendship. A general dislike of problems (seems to float through life with amazingly little care for circumstances). Lucky: confident the universe will bail them out, problems usually resolve remarkably easily, but has a hard time persevering against real adversity when it finally strikes. (Extravagant, prodigal, loves leisure, overly reliant on luck.) Mind is philosophical or religious.
My standard interpretation for Moon-Jupiter natal aspects:
Ambitious, desires success, aspires to take the lead. A natural ‘host,’ likes to play ringmaster in all life areas including in social & sexual hospitality. Usually good-humored, entertaining, kind, generous. Drawn to quality, desires only the best (things & circumstances) for self & loved ones. Strong beliefs (often religious or patriotic intensity, moralistic, judgmental). Social elitism (possible feigned superiority, aristocratic conceit).