"Я убегу отсюда" is correct. "Отсюда" is "from here", "сюда ́" is "(towards) here".

However, the meaning is "I wil run away from here"/"I'm going ot run away from here". If you need an ongoing action in Present, use "Я убегаю отсюда". Perfective verbs CANNOT form present tense in Russian, i.e. there's literally no way. The same form that conveys Present meaning for an imperfective verb, expresses Future tense for a perfective one.