2 years of UX would not pigeon hole you any more than 2 years of ID would. In general UI/UX is typically on a LCD screen, but there are many physical products which have UX that does not use a screen. Think Amazon Echo, Jambox, or any of the many IoT devices that are coming out today. Some may have a digital component that go along with that experience as well, and a broader design thinking background is very relevant here (even though that’s a much smaller subset of the job market).
I spent 8 years doing ID before transitioning to UX. So from that perspective I felt about as well versed in hardware as I probably ever would have. Transitioning to UX has allowed me a lot more opportunities to apply the design mindset, and has also made me far less “sensitive” about how my work is perceived. A hardware product has an “End” - you ship it, someone says they don’t like it, and you feel bad or defensive about why you made decisions, and maybe in a few years the new product will correct that problem. With UX I can prototype something and iterate so quickly that “I don’t like that” becomes valuable and welcome and you’re excited to see how else you can change or correct the problem.
As far as “how easy is it to transition” - the fact that you got a job offer with “pretty much no experience” means it may not be as hard as you think. However that doesn’t mean the job will be easy. UI/UX comes in a lot of different role types and covers a LOT of ground. Will you be focused on web, desktop, mobile or embedded? Will you be focused more on high level UX and strategy or low level UI and visual design. All of those things make for a lot of different opportunities and challenges.
Now switching back later on could be a challenge, since your only experience will be what you’ve done in your first 2 years and college, and I can say from a professional perspective, your first few years of work are probably the most valuable to your learning and understanding of process. So you would have to accept that moving back to ID would probably only qualify you for a Jr or entry level role. If you do some side projects to keep your hardware portfolio up to date on the side that can help, but you usually won’t have the manufacturing involvement on a conceptual project as you would on a real job.
From an opportunity perspective, there are a lot more UI/UX jobs than ID jobs. Not every company makes hardware, but virtually every company has some type of digital presence whether it’s a website, mobile app, or even their own internal tools. You’d be surprised how many large companies hire UX designers just to design their own HR systems.
Before you accept the job, I would look at what the company does and see if that particular space interests you. If they just want you to update their website it may not be nearly as interesting as a company that wants you to do hardware UX or build products that converge both the physical and digital spaces.
You can also look for UI/UX opportunities at your current employer to see if you can branch out your skillset without leaving the current job. But if the new opportunity is better then go for it.