Should I call him or not?

Should I call him or not?
I have met a great guy and we have gone on the three dates, I was under the impression, that he really liked me and would like to spend some time with me to definitely to get to know me.
After a first date which was great I got a text from him, that he had a great time, and would like to see me , again, we went on the second date, and the call was the same great with a note that he had a great time and would like to see me again, the same after third date- after that I did not hear from him for 5 days I wrote a casual message-he responded immediately, and asked me about my week, after no messages for three more days I have sent another casual one and I have mentioned that I would like to see him, he wrote back immediately, that would like to see me too but it has been very busy-now we are 5 days later and then is nothing from him , again.
Should I try to contact him, again or I should wait for him to call me back.I absolutely do not want to be that annoying person, that calls all the time, but on the other side I really would like to get to know him.