As long as the file is not a symlink or hardlink, you can use sed, tail, or awk. Example below.
$ cat t.txt
12
34
56
78
90
## sed
$ sed -e '1,3d' < t.txt
78
90
You can also use sed in-place without a temp file: `sed -i -e 1,3d yourfile`. This won't echo anything, it will just modify the file in-place. If you don't need to pipe the result to another command, this is easier.
## tail
$ tail -n +4 t.txt
78
90
## awk
$ awk 'NR > 3 { print }' < t.txt
78
90