If there is such a function it would probably reside in the intuition library. Try checking the function reference on
http://amigadev.elowar.com/ for it.
The border blank feature is ECS and AGA specific, and what you need to do is enable the ECS feature set by setting bit 0 in BPLCON0 $DFF100 to 1, and also enable the border blanking by setting bit 5 in BPLCON3 $DFF106 to 1.