Ouch!
Okay.. "can" they print it.. yes.. WILL they print it.. unlikely.
You've got 1000 separate peices that each are VERY tiny.
That is going to be a massive trouble for the operators to remove from the printer.
In other forum threads you will find notes about "spruing items together",
but I don't think that will be effective in your case.
To accomplish what you're trying to do, I would re-arrange all the peices into layers and then
build a "bounding box" or "cage" around them such that the operator doesn't have to handle each one of 1000 peices.
Contain them in a box together and then open it up when you receive it.
For such a box, your items can be packed much closer together, reducing the size of the container.
Make sure the container has some drain holes to let out the support material,
but not large enough to let any of your parts out.
Look at the 3d view of this model:
http://shpws.me/nEs2