Перевод - Турецкий-Английский - Hatta seni hayatımın sonuna kadar sevebilirim

Do we need to use "for that matter." or isn't to use only "even" enough?

There is a small difference in meaning:

I can even love you till the end of my life = it is even more / stronger than that: I can love you till the end of my life.

for that matter: as far as that is concerned; now that we mention it - so it comes across as something a bit more casual / natural.