I'm not sure I understand why you want to do that, but yes and as Duncan says, you'll get large cell bees. You can also put a "large cell" queen on small cell, although I'm not sure there really is such a thing as "large cell" and "small cell" queens. Bees make queen cells quite oversized so I don't think the size of the worker cells has any effect on the size of the queens...
The queens are not large cell or small cell, they are all the same. I have raised queens in large cell hives and small cell hives and the queens are the same, they can lay eggs in small cells or large cells.
Not sure I quite understand your question, but putting a particular queen in a large cell hive will not make it small cell you have to have small cell comb.
EDIT - Started writing before your post appeared Michael, sorry have covered some of the same ground.
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