Please tell me, could a pulled muscle feel like stitch?

Yes, A pulled Ms in : The side could very much feel like a stitch. Should take a few days to get better, or using a ms relaxer with Ibuprofen or aleve (naproxen) type med would help, + a massage, gentle stretching exercises, us or a tens unit would be helpful. You wont need all of these to get it better. Generally rest, pain med (like ibuprofen), stretching exercises would be enough. If no better in 5-7 days, see pcp. Good luck.