We know that in the anthropological record examples exist of people being cared for exist that should not have otherwise survived. So it’s fair to say that at least some of us do have the desire to care for others within us.
Community support efforts exist. There are always people who will do for others without the expectation of reward. I’ve been the beneficiary of it and the giver of it when I can.
We also have plenty of contrary examples as well. It’s easy to look at, say, the growing income inequality as an easy example of at best indifference to the suffering of others and news feeds focus on the harm we as humans do to each other.
You can make an argument for both things being true.
We would not have survived as a species if we did not learn to cooperate and there can be those who will put themselves above all others at the expense of everyone else.