I wouldn't, 'cause I love having thick hair. But look at the Ouidad site, they do something that thins out curly hair but curl by curl, I think if you really think you'd be better off with less hair it would be a better solution. Thinning shears are a pretty bad idea for anyone with curls or hair longer than a few inches.
2c / C / iii (FIA)
Med-Coarse, LowPorosity, NormalElast (LCLF)
Wash: DevaCare Low Poo
Detangle & Rinseout: Walgreens or Sally's Conditioning Balm (always)
Leave-in: DevaCare OneC (budget choice is GFTN)
Style: ReCoil & DevaCare Arc Angel (budget choices are HESMU or Got2BSpikedUp)