The 34-year-old is refusing to give up hope on a top-four finish in the Premier League despite the Toffees trailing fourth-placed Arsenal by five points.
A run of five wins in their last eight games has kept David Moyes' side in touch and while it is still remains mathematically possible, Howard says anything is possible.
|66/1||Everton are 66/1 with Coral to finish in the top four
"If we put a few moments of magic together, if we can win out, which is never easy with the games that we have, and we can get some help in and around us, anything is possible."The Toffees make the short trip to Anfield on Sunday for the Merseyside derby against a Liverpool side buoyed by their 6-0 thumping of Newcastle last time out.
Howard is wary of Brendan Rodgers' side after they showed they can cope without the suspended Luis Suarez, but is confident Everton can end their long wait for a win at Anfield.
He added: "All the talk has been about how Suarez has carried them, maybe rightfully so, but boy have they made a statement and shown everybody that they also can find goals from other places.
"They are a threat, we know that, and I think we'll have mapped out a plan to try and beat them come Sunday."