Is it possible to acquire a letter of recommendation without meeting face to face?
Is it possible to acquire a LOR without having a face to face meet up/agreement?


Yes, of course. It happens all the time. People are not always geographically co-located with their letter writers.

If you are worried your professor might not remember who you are without a face-to-face meeting, then the major concern is whether he will be able to write a strong letter for someone he barely remembers without a visual reminder - not whether you have met to discuss the letter in person.