It is correct English. Without more context it is hard to judge whether it is the clearest or most natural way of expressing what you want to say.
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hrsaneiYou can drop "neither" and say it in a more natural way. I can't sign in nor sign up.Actually, this does not seem very natural to me. "nor" is mostly used in certain patterns, such as with "neither", of which this is not one. I would say I can't sign in or sign up.
AnonymousHow about "I can't sign in, nor can I sign up", please?That's OK.
hrsaneiIn this context, "nor" would be a better alternative than "or" as the sentence is negative.If you are talking about the sentence "I can't sign in nor/or sign up", I respectfully disagree with you. While "nor" is not wrong, and may be suitable in formal English (in which case the contraction "can't" would not be used), it feels less natural than "or" in