I don’t think so. I had similar problems with my iMac and one of the previous versions of the OS, and became very adept at pulling the plug from one socket and plugging it into another, to force things. But I suspect you’re on a MacBook and don’t have the extra socket.
That it works in Safe Mode is a possible flag for some 3rd party interference; removing any 3rd party kexts or login items is always a good test.
But trouble with displays can often be traced to the cabling and connectors. Use Apple-made cables and adapters where possible (I can attest 1st hand to that resolving one long-running resolution problem I had), and invest in new ones if they’ve been through a lot of plugging/unplugging.