Yes, it is possible to delay cord clamping and also collect cord blood provided there is sufficient blood remaining in the umbilical cord while also allowing some of the blood to flow to the baby. The World Health Organisation guidelines indicate a delay of 1-3 minutes can benefit the baby, however choosing to delay and for how long is a matter for you to decide in dialogue with your healthcare professionals. There is no way of predicting the volume of cord blood that will remain after a delay in clamping.
Read more about delayed cord clamping & umbilical cord blood banking here.
References:
Parents Guide To Cord Blood Foundation
http://parentsguidecordblood.org/faqs/what-is-delayed-cord-clamping
WHO Data Guideline: delayed umbilical cord clamping for improved maternal and infant health and nutrition outcomes.
http://apps.who.int/iris/bitstream/handle/10665/148793/9789241508209_eng.pdf
RCOG Clamping Of Umbilical Cord and Placental Transfusion – Scientific Impact Paper (No 14)