Is it compulsory to have sex right after nikkah?

Me and my guy are in a long distance relationship. Inshallah our nikkah is supposed to happen within a few weeks but we only meet once a year. Due to financial difficulties, we can’t move in together yet and have our Walima. I heard if I don’t have sex with him after nikkah within 24 hours, it will be bad. Another person told me if we don’t have sex within 4months, it will be automatic divorce. Please help me.