Whether goods can be transported without issuance of Invoice

Yes. The consigner can issue a delivery challan instead of an invoice at the time of removal of goods for transportation in the following cases:
(a) supply of liquid gas where the quantity at the time of removal from the place of business of the supplier is not known,                                                                       (b) transportation of goods for job work,
(c) transportation of goods for reasons other than by way of supply, or
(d) such other supplies as may be notified by the Board.

(ICAI FAQ PUBLICATIONS 06-09-2017 TAX INVOICE, CREDIT AND DEBIT NOTES: FAQ NO. 38)