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1 liter=1.05668821 so yes a little bit
Convert to same units and then can compare. Based on your spelling of liter, I guess you are American: 1 liter ≈ 2.11 US pints 1 quart = 2 pints → 1 liter is greater than 1 quart. If you are a European who can't spell litre or is stuck with an American dictionary: 1 litre ≈ 1.76 imp pints 1 quart = 2 pints → 1 litre is less than 1 quart.
1 liter = 2.11 quarts 1 quart = 0.94 liter
quart is bigger
In the same manner that a quart is almost a liter, a yard is almost a metre