You have a single cat and you see it displaying species-typical behavior towards you and you wonder if it might like the company of another cat. It's a complicated issue, and how your cat was reared as a kitten (information you may not know) plays a big role in its tolerance level for another cat.
Most people think getting another cat will create a strong bond and they will be buddies - not usually true...
It is not in a cat's nature to live in group settings in the wild - unless they are living in an area where there is a reliable and abundant food supply, such as managed feral colonies like this one shown below, around rubbish/dumpsters, fishing villages and sometimes farms.
In these reliable food source areas where colonies exist, most of the groups studies consist of females, usually related, with their off-spring, including immature males and unrelated mature males. Mature males are only loosely attached to any one group and their roaming ranges tend to me up to 3.5 times larger than females.
It is rare for prey suitable for domestic cats to be highly abundant in any one location for any length of time, therefore social groups are rare.
In your home there is an endless supply of food so cats should not be fighting over a food source. There are many other factors that determine the outcome of introducing another cat to your household that we will go into more depth in future posts.