Doors Closed before even DP Started? 😔

Hello

I wanted to switch Physics from SL to HL instead of Business as I may wanted to do Engineering later in university. However, when I emailed my school head teacher that I wanted to switch the level of the subject, she denied by saying that "I was the only student in my cohort taking Physics at HL level ." Other people in my cohort wanted to get into Medicine so most of them took Bio HL, and because of others decision I couldn't get what i personally wanted, and they still have their options open.

On top of that, my school don't even offer MAA and now HL Physics which are the most essential for Engineering, and tbh I am currently very confused and kinda sad.

For context I live in Germany and wish to study in Germany (TUM), UK (ICL Oxford, LSE), Netherlands (Delft), or Switzerland (ETH). But because of my subject choice I feel like the doors may be closed even before DP started. My current subjects look like:

HL: MAI, Business & M, German B
SL: Physics, Chemistry, English A LL

And I feel that Business is mostly seen as an 'useless' subjects by most schools, and that my only main subjects is Maths.

I really wanted to get into a good school and I am also hardworking & smart (got all As in IGCSE), but due to my school I feel like I don't have much options.

Could you'all guide me?