dekimasu/rareru and requests

Does saying something like:
公園に行ける?
(Can you go to the park?)
imply a request as well like it generally does in English?
i.e. does the above imply:
公園に行ってください。
(Go to the park.)

Someone that I talked to said that was the case and I wasn't sure if it actually was or not.

公園に行ける?, 2時に公園に行ける?、一緒に公園に行ける?、etc. can imply you want someone to go to the park. But if you ask the direction, etc. i.e. この道で公園に行ける? does not imply like in English.

この道で公園に行ける?
(Can you go to the park by this way?)
can also imply a request, I think...

Lady"この道で公園に行ける?"
aBoy"はい、行けますよ" (Yes, you can go)

Lady"この道で公園に行ける?"
aBoy"まかせてください!" (I can do it!)

I fogot to say that's very particular/special case required something background.
So in general as ay said, but it's possible.

Ah, so it can? Interesting! Thanks for the responses!

If you as asking if someone could do you a favor, I would say the construction of the-form + kureru? Kuremasuka? Would be more appropriate.

So it would be
Koen in itte kureru?
Koen ni itte kuremasu ka.
Or
Koen ni itte kuremasen ka.

Sorry I meant to say the te-form.