Yes. Extending the 1040 return by 4/15 will achieve the extension of the gift tax return.

IF you...AND you...THEN...
file Form 4868 or Form 2350...do not expect to owe gift and/or GST tax...do not use Form 8892.
file Form 4868 or Form 2350...expect to owe gift and/or GST tax...use Form 8892-V, Payment Voucher, to pay gift and/or GST tax.
need to extend the time to file Form 709...are not requesting an extension for your individual income tax return...use Form 8892. See instructions.