Almost all brokers allow that.
Actually margin facility in the true sense of the word means margin funding not even exposure for intraday as most ppl think, margin funding is risky and not advisable unless you are an experienced trader moreover the interest is very high 13% p.m.
A lot of brokers allow this as well, I know Angel does, however you have to build a good relationship with the broker before they will even tell you they have margin funding facility.
ICICI Direct has two trading portals, the one you, I and aad uses is the web portal they also have another portal called directlink this is for clients who trade more than 20 crores per quarter, I know (casually acquainted) only one person who uses it. I think they have a different set of rules for that not sure but you can find out they may allow what you want for both exchanges under this scheme , just check.