It's certainly possible, but there are two problems with cutting it like that:
1. The dust generated from a angle grinder. Of course, the dust can be cleaned up, it's just a mess.
2. You'll probably end up chipping some if not all of the tile as you cut them. Once you damage them, there's no going back.
How wide is the gap between the wood and tile, and does the wood run perpendicular or parallel to the gap?
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The top ten reasons to procrastinate:
1.