No, not at all.
If I heard someone say "I got my eyes fixed" without any context, I would presume they had vision problems (such as cataracts) and that they had had surgical intervention to solve these problems. I would not presume that they were talking about cosmetic surgery.
If you're talking about treatment for allergy, say, with medication, you wouldn't say 'fixed' - you fix something that's broken. You could perhaps say something like this: 'I got my eye problem sorted out'.