Can I install hardwood in a raised deck in massachusetts

Yep, no problem with hardwood nor tile and both are quite commonly done. Ceramic tile does require a very stiff surface, so it will be considerably more costly. Some people lay loose pavers or large thick stone tiles on a more beefy decking and structure that accounts for their thickness.

- But Hardwoods, are very well proven long lasting lightweight solutions. However, there are only a few "Hard"-woods to choose from. Being - White Oak (not red), Ipe, Teak and Mahogany. So somebody doesn't try to sell you Soft as Hard...Redwood, Cedar, and Cypress are Softwoods.