No. You want a temperature-controlled soldering iron. That steps up the price, but you're likely to lift pads and ruining the board otherwise.
Get a Pinecil, Sequre SQ-D60B Pro (not the non-Pro), or a TS100. A D24 tip (screwdriver tip with 2.4mm blade) will do basically every joint you need, although some less-optimally, and sometimes comes with those irons.
Along with the iron, you will need:
Wire strippers are unnecessary for silicone-coated wire found in the hobby, which strips easily with fingernails or a light cut into the insulation with a hobby knife.
Watch a soldering tutorial, like Bardwell's, and do the practice board.