You can request whatever you want. However, if the other parent is willing to provide transportation and security for the child, then there is no reason why the court would unreasonably restrict visitation to the local area.
Of course the court would want to be assured that the child would be safe in transit, and 5 years old is too young to be traveling by air alone. So, as a practical matter, it may be cost prohibitive for the other parent to come to your location, pick up the child and transport her back to the other parent's residence.
Note: generally, the court will make the moving parent bear the additional cost of transportation -- which is why practical financial issues may make your concerns someone moot.
That said, until you ask the court to modify the existing orders, they must be followed. So, if the orders do not work for a long-distance visitation, then you or the other parent must ask the court to modify the orders to accommodate the new circumstances.
Hope this helps.
Terms and Conditions: By your continuing in this conversation with me, or by your clicking “Accept”, you are expressly agreeing to all of the following: (1) our communication is for entertainment purposes only; (2) you are not consulting me in my professional capacity as an attorney; (3) you do not seek to establish an attorney-client relationship with me, nor do I with you; (4) you will not rely on anything I say and you will obtain appropriate legal counsel via a traditional/office consultation with an attorney licensed to practice in the jurisdiction where your legal issue arises (and you may not use our communication to avoid taxpayer penalties imposed by the U.S. Dept. of Treasury); (5) by communicating with me in this public forum you are irrevocably waiving any right to privacy, confidentiality and attorney-client privilege concerning the matters discussed. You further separately declare that any payment made by you is not consideration for this contract, nor offered for any services rendered by me on your behalf, but rather is made in genuine admiration and respect for my desire to help others. If you do not agree with these terms and conditions, then you must advise me immediately.