Are there rules against women asking for the second date?

Had a first date that was last Friday that went well. He and I have been in contact everyday since then either texting or FaceTime. He hasn’t asked me in a second date yet but has said things during conversations such as “the next time we go out-“. It’s nearing the weekend so I’m kinda curious to see if we may see each other

Are there rules against women asking for the second date?
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