You can suggest it, but I don't think it'll be accepted.

(Besides which, I doubt it would actually be possible to implement without breaking the "Tiny" philosophy. try gets its block-handling syntax by using a sub prototype of (&;@). To be able to accept a string you'd need to part ways with that prototype which would make using Try::Tiny a lot uglier and would break backwards compatibility for all existing users of Try::Tiny; or you'd need to write a lot of custom parsing code using something like Devel::Declare, and that would make it a lot less tiny.)

Stringy eval is usually a sign of code smell (i.e. a sign that you're doing something bizarre that could be handled better another way). Taking your eval "require $module" as an example, you should take a look at Class::Load or Module::Runtime.