I want to execute a particular block of code if given file exists.

if ssh user@$host "test -e $file";
...

When $file is a complete file name such /tmp/test1.txt this works fine. However, if I want to check if any file exists in a directory such as $file is /tmp/*, I get

bash: test: too many arguments

Is it possible to use * with test -e, if yes how?