Yes of course they will， I have experience which is matched this saying.can, and I have personally experienced it.

I changed will to can because your initial question asked whether friends CAN be jealous, not whether they will be.

I was single before for two years and my friend Li came to my city for traveling.

I’m not sure if this is what you meant, but i edited this to say you were single for 2 years in the past, and you’re no longer single

He suggested we go to play a murder mystery game, and I met my girfriend at that game.

You can say ‘we go [somewhere] to play’ , or just say ‘we go play’

At first, we have a game within three boys and two girls, total amount five people in this game.otal.

I removed ‘this game’ to avoid repeating, but it was correct

He told me that he thought the two girls awere pretty, especially that girl who hasd big eyes whicho is my girfriend now.

1. are => were because your story is in past tense
2. has => had for the same reason
3. which => who because your girlfriend is a person, so we should use ‘who’. ‘Which’ is for inanimate objects.

He decided to ask the two girls whether they would like to eat dinner together with us, and we got rejectioned.

You could technically say ‘we got a rejection’, but people just say ‘we got rejected’ in real life

We stopped asking and had a fun traveling in the next few days.

Li camewent back to his hometown in a nice mood.

Came => went
It sounds like Li lives apart from you, so when he goes to his hometown, he would be going away from you. Thus, you should use went to show that his destination is different from yours

After that, that girl messaged me consciously and asked me how tall I am and so on.

What do you mean by consciously? The sentence makes sense without it though, so I deleted it for now.

We started having a nice chat and finally getot together with each other together.

I decided to tell Li this thing and he thought I amwas showing off.

Past tense

To be honest, I just wanted to share a happy thing with my friend, and he was hitting on other girls at that time, but he was angrying to with me.

hitting ON girls - flirting, trying to date
hitting girls - slapping, punching them

Be careful!

Are you showing upoff?” I said:” I don’am not, but we cannot be a good friends if you think of me like this.” We awere becoming strangers after that argument.

Mostly edits to make it past tense. Remember, this is a story that happened before.

Personally, I think it is a good standdard to help you distinguish who will be your good friends.

Your good friends usually feel happy to hear your good news, and they will givcelebrate wit up toh you.

by give it up, do you mean ‘give it up for [person]’, like what announcers say before a star comes on stage?

If so, that saying doesn't really apply in any other setting.

Unfortunately, most of people you meet, they don’t really want you to be better.

We’re back in present tense now, since the story is over.

You just keep selecting and you will find your real friend who always staying with you unconsciously.nds by you.

Unconsciously means 無意識的, like they don’t know they are standing by you. What meaning are you looking for?

‘Stand by you’ is a saying that means the friend will support you no matter what, especially when things are difficult.