Yes, you can!
Rewrite your JS code into function with one argument (timelimit) and put it into some external file. Then you can call the function from view and pass that @timeleft
variable as JS function argument.
Short example:
#controller
@time_left = Time.now.to_i - 3.hours.to_i
.
#javascript
function count_down(time_left) {
$('#countdown').countdown(time_left)
}
.
#view
<%=javascript_tag "count_down(#{@time_left})" -%>
Example not tested, it is only idea not complete solution. Don’t forget to load that JS file. You can use other JS rails helper javascript_include_tag.