Sending bitcoin without the miner fee is quite impossible because the process for the transaction and the one who process the transaction is paid for a price and their service is not free. Doing a transaction with a low transaction is possible yet it will take time before it can be able to process due to the reason that mostly miners take on priority with the transactions with high miner fee because it might be an indication that it is a really important transaction to do. But if you want a fast process, you may pay high miner fee rather than waiting for a long time but assure that you are transacting a great amount so that miner fee won't be larger than the transaction.