I will be travelling soon from Delhi to Washington DC with a 3 day stay in Dubai. I don't want my checked in luggage during my stay at Dubai, can I check in the luggage from Delhi to Washington DC even there is 3 day stay in Dubai?
No. The baggage system is not designed to store luggage for this period. You should arrange to store your bag in a left-luggage facility.
If you have concerns about customs controls for alcohol, pork, et c., there is a procedure whereby Dubai customs retains these items and return them to you when you leave the country again.