Yes. Every post carries its audio track as a separate file in TikTok's payload, so the sound is always offered as its own row beneath the video, labelled with the track name and the creator TikTok credits it to. You get the whole sound, which is often longer than the video built on it.
One point of honesty about the format, since most people search for this as MP3. Nothing is converted here — you get the file TikTok stores. That is usually an MP3, and arrives named .mp3. Sometimes it is AAC in an MP4 container, and that is saved as .m4a, because .m4a is the correct name for exactly those contents.
Which one you get is decided by the bytes rather than by the URL or by TikTok's own headers, and that care is warranted: its delivery mirrors do not agree with each other, and one was observed answering video/mp4 for a file whose header is plainly an MP3. Naming a file after a mislabelled header is how a perfectly good download ends up refusing to open.
If you specifically need an MP3 and got an .m4a — for an old car stereo or a piece of DJ software that insists on it — convert it afterwards with a tool built for that. We would rather hand you the original than a lossy copy of it.