Is there any Central Government scheme to convert physical gold into Gold ETFs to the owner’s Demat account?

Since the discussion about exceptional gold returns over the past year came up in another thread, I wanted to ask a related question:

I wanted to know whether there is any central government–run or government-backed scheme in India that allows individuals to convert physical gold (coins, bars, or jewellery) directly into Gold ETFs, with the Gold ETF units credited to the owner’s Demat account?

Since the gold is not sold but only dematerialised, no capital gains tax is triggered.

I’m specifically asking about a formal conversion or deposit mechanism, without first selling the physical gold in the open market, and where the conversion is to Gold ETF units only—not certificates, bonds, etc.