No, the island was always sparsely populated and too small to have a hall.
Reverend Thomson, who started keeping the parish records in 1764, was not a native Gaelic speaker and pronounced it phonetically. The word "Choarie" is one of many that confuses non Gaelic speakers. The opening "ch" is not as in "Chicken", but is a soft "h" sound, so it's very roughly "AY-lan Hoo-rie". In local Assynt dialect that's become transposed to a "hall" sound.
The whole story of Laid (Leathad) is a deeply depressing one. The land was so poor that it was unihabited until the 19th century Clearances, but the Eriboll estate then placed several tenants on crofts on which tenants could only eke out a very meagre living. The croft houses were of very rudimentary construction, with some limited power obtainable via windmills. Even as recently as 1978 it was not attached to the National Grid, although it is now a lively little community.
To give an idea of how tough life was: In 1945, when it was still not verified that Adolf Hitler was dead there was much talk about what should happen if he were to be captured. At a meeting of Sutherland County Council it was suggested "Give the bugger a croft on Laid".