Is it possible to undo the changes caused by the following command? If so, how?

git reset --hard HEAD~1

Pat Notz is correct. You can get the commit back so long as it's been within a few days. git only garbage collects after about a month or so unless you explicitly tell it to remove newer blobs.

$ git init
Initialized empty Git repository in .git/
$ echo “testing reset” > file1
$ git add file1
$ git commit -m ‘added file1’
Created initial commit 1a75c1d: added file1
1 files changed, 1 insertions(+), 0 deletions(-)
create mode 100644 file1
$ echo “added new file” > file2
$ git add file2
$ git commit -m ‘added file2’
Created commit f6e5064: added file2
1 files changed, 1 insertions(+), 0 deletions(-)
create mode 100644 file2
$ git reset –hard HEAD^
HEAD is now at 1a75c1d… added file1
$ cat file2
cat: file2: No such file or directory
$ git reflog
1a75c1d… HEAD@{0}: reset –hard HEAD^: updating HEAD
f6e5064… HEAD@{1}: commit: added file2
$ git reset –hard f6e5064
HEAD is now at f6e5064… added file2
$ cat file2
added new file

You can see in the example that the file2 was removed as a result of the hard reset, but was put back in place when I reset via the reflog.