Can there ever be a tie(For Gold) in the Olympics? Can there ever be two Gold Medalists from the same country?

Ties can and do happen sometimes. When there's a tie for gold they award both a gold and no silver medal is awarded. It's happened at least 29 times in the Summer Olympics alone and two of those times there was a three way tie for gold. It's happened 9 times in the Winter Olympics.

There have been ties in the Olympics:
https://en.wikipedia.org/wiki/List_of_ties_for_medals_at_the_Olympics#:~:text=List%20of%20ties%20at%20the%20Summer%20Olympics%20,for%20silve%20...%20%209%20more%20rows%20
There is no limit to how many gold medals a single country can win. There is even a list that shows how many medals countries have one. Often it goes with bragging rights.
https://www.worldatlas.com/articles/countries-with-the-most-olympic-medals.html#:~:text=Summer%20Olympic%20Winners%20By%20Total%20Medals%20%20,%20%20847%20%2046%20more%20rows%20
There are records by year also, if you have interest in a specific year feel free to look it up.

If there is a tie, the participants will have a fistfight to determine the overall winner.  This is called a tie-breaker, but in certain cases it has been a face-breaker.