First up, why titanium? Have you used it in a knife before? The reason I'm asking is that Titanium doesn't hold an edge all that much better than aluminium. Obviously some titanium alloys will be more wear resistant than others, but usually the harder ones are also incredibly brittle.
The reason you can't laser cut a piece that thick is that it conducts heat too well, again much like aluminium, and it will tend to just liquefy and becomes very unpredictable.
If you do want to go ahead with it I would assume water cutting would be the way to go, but I'd be hitting up the search bar on knife forumms because there are plenty of people who have probably had the same question.
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