Is it possible for a dream to feel so real that you can still feel it the next day?

I don't really understand dreams, but on Friday I stayed at my friends house, and I was having this weird dream that I don't remember at all even when I woke up I couldn't remember it, but what I do remember is my friend leaning towards me and kissed me on the lips. Now that felt so real, I didn't wake up from it, even til this day I can still feel like it was my very first kiss.

I'm afraid to ask, because a part of me hopes it was just a dream because it seems odd to do it while I was asleep, because like if I was awake and it happened, more could have happened than just a kiss. Plus he always tells me that he doesn't lie and will speak the truth, etc.. so I feel like he wouldn't do that while I was sleeping.

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Also I forgot to mention when we were eating breakfast I told him I had the weirdest dream, and honestly he seemed kind of off like he got scared and asked what did I mean by that, but he calmed down when I said I don't remember what happened.
Is it possible for a dream to feel so real that you can still feel it the next day?
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