Is it impossible for foreigners to master a good accent in French?
No – there are of course many and varied regional accents in France anyway and thus as long as you are able to express yourself with reasonable grammatical accuracy, your accent in French should not be an insurmountable problem. It is perfectly possible for anyone to attain a good level of spoken French after putting in the requisite effort and you might possibly be pleased to learn that speaking French with an English accent is considered very attractive by most native French speakers.