Yes for plain English names and for the digits 0 to 9, which every standard Morse code translator handles correctly. Trouble appears with accents, apostrophes, hyphens and unusual symbols, where tools differ. Check those characters by hand before using the result anywhere permanent.
Names are the most popular request, and most of them are easy. Morse has no concept of capital letters, so Mia and MIA produce identical output: three groups, one each for M, I and A. A Morse code translator puts a space between letters and, for a full name, a slash between first and last name. That slash does real work. Without it, Ann Lee would read as a single run of letters, and a decoder would hand back ANNLEE.
Accents are where names get awkward. The international standard defines a code for É and for no other accented letter, so names such as José, Zoë or Søren fall into a gray zone. Some tools drop the accent, some convert the letter to its plain version, and some use a pattern borrowed from a national variant that other readers won't recognize. None of that is a bug; the code was never designed to cover every alphabet. If your name has diacritics, decide in advance which version you want and say so wherever you display it.
Apostrophes and hyphens, as in O'Brien or Jean-Luc, have patterns in the standard, but not every tool implements them. A Morse code translator that silently omits an apostrophe will give you a perfectly valid result for the wrong spelling, so compare the output length with what you expected.
Numbers are friendlier. A Morse code translator gives each digit a fixed five-symbol pattern that follows a pleasant logic. The digit 1 starts with one dot followed by four dashes, 2 begins with two dots, and so on up to 5, which is five dots. After that the pattern flips, so 6 begins with a dash followed by four dots. Dates and phone numbers work well, but spacing matters more than usual. Digits run together without gaps turn into something else entirely, so keep a space between every digit and a slash wherever you'd normally pause, such as between a day and a month.
Anyone planning a tattoo, an engraving or a piece of jewelry should treat the Morse code translator as a drafting tool. Print the result, check each letter against a reference chart, and confirm how the pattern will be spaced on the finished piece, because a misplaced gap changes the letters. The Morse code translator I'd use for that shows each letter group separately and lets you copy the exact output, which makes that line-by-line check straightforward.
It also pays to read your Morse backwards once. Switch direction, paste the dots and dashes into the decoder, and confirm that the name or number comes back exactly as you typed it, apostrophes and all. If it doesn't, the mismatch tells you which character the tool mishandled.
Every Morse code translator has limits and use cases vary, so if the result is going on something permanent or being submitted officially, ask someone fluent in Morse, such as a member of a local amateur radio club, to confirm it.