It's totally possible. A lot of curlies do it. Here're some ideas for you. http://www.naturallycurly.com/curlreading/kinky-hair-type-4a/top-10-transitioning-tips
How could i transition without the big chop ?
It can be done. For me, I used a lot of protective styling and made sure to moisturize my hair. I hope this helps you!