Can you live without goals in life?
Interesting question. What was your goal in asking this question?
I think in theory you can try, but every tiny result you seek is a micro goal in and of itself.
Even if it is to simply wake up, get out of bed, go to the bathroom just so you can get back into bed.
If you are talking, can you get through life without doing this whole big goal setting process that people ramble on about every New Year, I don't see why not. Sure, you can live life without setting goals. Most people do it half-assed anyway and quit by February/March, so you will, “live.”
The question is, “will you live the life you want to live,” will you wake up with love and joy and feel good if you have no general aim in life or nothing to shoot for?
That is a question only you can answer.