If the buyer’s agent asks for more but the offer is lower than asking, can I offer a lower compensation?

YES! You could even offer LESS

If your home is listed at $1 million and you are offering a $10,000 compensation to the buyer, and their offer comes in under $1 Million and they ask for more…. You could choose to accept the lower offer or counter back AND you could also LOWER the compensation you are offering down to $5,000 or some other number.