Yes. If you create a cuesheet for your MP3 file it will essentially split the file into tracks, each of which can have their own TITLE (and PERFORMER, but I'm assuming you don't need this).
Here's an example:
CODE
PERFORMER "My Artist"
TITLE "Track Name"
FILE "mymp3.mp3" MP3
TRACK 01 AUDIO
TITLE "Part I"
INDEX 01 00:00:00
TRACK 02 AUDIO
TITLE "Part II"
INDEX 01 01:00:00
TRACK 03 AUDIO
TITLE "Part III"
INDEX 01 02:00:00
TRACK 04 AUDIO
TITLE "Part IV"
INDEX 01 03:00:00
If you save this as "mymp3.cue", put it in the same folder as "mymp3.mp3", and then drag the .cue into foobar it will show four tracks: Part I; Part II; Part III; and Part IV. Parts I to III will be one minute long, while Part IV will "take up the slack".
Edit: For clarity, I guess you could use titles like "Track Name: Part I"; "Track Name: Part II"; etc. Also note that all tracks will show the artist as "My Artist".