No. Everyone with write access to the repository can hit the merge button.
It's important to realize the rational behind this. Everyone with write access to the repo can simply clone the repo, perform the merge of the 2 branches locally and then push up again. So disabling the merge button on the site would not give any form of access control.
Bitbucket Pipelines helps me manage and automate a number of serverless deployments to AWS Lambda and this is how I do it. I'm building Node.js Lambda functions using node-lambda ...
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