It can refer to any negative feelings that you might have as a reaction to something that another person has said or done. It can mean 'I'm not angry, hurt, upset, resentful, insulted, offended...' .
Note that you can also use it as a question. If you say 'No hard feelings?' , you are checking that the other person isn't annoyed, hurt etc.
And one bonus tip... it's 'other feelings', not 'others feelings'. In this sentence, you're using 'other' as an adjective, and - as you know - one wonderfully easy thing about the English language is the fact that our adjectives are invariable.
Other feeling, other feelings. It doesn't change.