It would still swing at anchor, whether it is anchored fore or aft, depending on the flow of the tide.
anchor from the bow, rather than the stern
stern
There are vessels designed to to specifically anchor from the stern of the vessel. However if you mean a "fishing boat" as a small recreational or "pleasure" craft like a bass boat, it is almost NEVER recommended to anchor from the transom of a boat. This is especially true if you have any type of current or sea state (even lake or wind waves) as your stern is the lowest part of the boat to the waterline and swamping can happen fast. I have personally seen it at the mouth of the Columbia River bar located in Pacific Northwest. Not to mention you run the risk of fouling your props with the anchor rode.
stern
anchor from the bow, rather than the stern
Anchor from the bow, rather than the stern
anchor from the bow, rather than the stern
On a mooring none,if fishing or at anchor a white light at mast or stern.
Anchor from the bow, rather than the stern
Avoids taking on water, capsizing or swamping the vessel
Avoids taking on water, capsizing or swamping the vessel
If anchoring, secure the anchor line to the bow of the vessel, never to the stern.