Is this rate of coins being lost bigger than the rate coins are being generated at?
Currently, roughly 1,800 BTC is "disbursed" from the mining process every 24 hours.
What you are basically asking is, whether users are losing over 1,800 BTC per day.
No. That would be impossible right now (12.5btc per 10min on avg).
If I had to guess, I would estimate around 0.1 to 4 BTC lost per day an average.
(Not including large losses, such as an exchange or whale losing their keys or screwing up tx).
So, IMO, I would estimate that the base amount of 750btc, is lost per year.