No, Agile and Scrum are not same.
Agility is the ability to adapt to change, faster.
Agile is basically a set of principles in project development, linked together in a manifesto called Agile Manifesto.
Scrum is a framework, i.e. an interlinked set of components which help realize the agile principles. It can be modified and tweaked to suit any project context.
It has some well-defined techniques and named components in its habitat, which are reusable and follow Agile.
Agile is a methodology and Scrum is a model. Scrum is based on agile. Scrum is one of the most utilized models of agile so people started using it directly in terms of agile and so a lot of people are now confused if agile and scrum are the same thing.
You can say Scrum is agile but agile is not scrum as agile is having many more models.