No. Uniswap will display the Uniswap Labs default list from Token Lists[0], which covers a lot of the legitmate tokens. Token Lists has additional lists from other protocols if you want to expand the listings. Unless a token is playing a long con (FTT I guess) it’s unlikely to be listed in these.
If you want to trade an unlisted token by adding the contract address manually, sure you can do that. But then it’s on you if you get scammed, like if you follow through on a solicitation from a spam email.
If you want to trade an unlisted token by adding the contract address manually, sure you can do that. But then it’s on you if you get scammed, like if you follow through on a solicitation from a spam email.
[0] https://tokenlists.org/