It is possible to get a job in the aerospace industry with an undergraduate degree?

Most aerospace work is for the govt, and therefore has security clearance restrictions. Plan on NEVER working in the US unless you are a US citizen. In some cases, legal permanent residency status will be acceptable, although you likely will be prohibited from working on govt contract projects.

Bachelor's degree is NOT going to qualify you for any employment visa anyway. Expect to need a minimum of master's PLUS experience in any STEM occupation. But aerospace you need to forget about unless you work in your country's aerospace industry.

Of course, I don t see why not. The MSc is more favorable, some rolls at NASA look for PhD. But again, depending on what job you want depends on what type of degree you need, there will be some for undergraduate.