Yes, many fund companies provide this feature. In order to set up an auto-debit facility, go to the website of the fund house, choose the fund and provide the required details such as the amount and period of SIP. Keep your PAN handy. You will get a URN number from the fund company. Now log into your bank account and enter the number there. Some fund houses may have another method to set up a standing instruction. In this, a small amount (for instance, Rs 1) is credited to or debited from your account.
In the future, if you wish to discontinue your SIP, just login to the fund company's website and exercise the option. You can also exercise this option through your bank, online or offline.