Claim token button on Wordpress website

is it possible to have a simple “claim token” button on a wordpress website, auto connect to wallet, then giveaway a certain amount of token, and let claimers pay gas fees to get free token in exchange?

This is a very generic question, I would suggest you to explore the wallet endpoints to know its features and limitations first and then take your conclusion on how to build your project. If there’s a more endpoint specific question later, feel free to post here again.