Weedeater oil? As long as it is made for 2 stroke, air cooled weedeaters, yes.
Check the label for mixing instructions. We suggest starting with a 24:1 mix then after several tanks move down to a 32:1 ratio. We have no way of knowing what brand of oil or type that you have but most weedwhackers are 2 stroke and the oil used in them will probably be just fine for your 2 stroke engine. There are synthetics that you can run at 50:1 and some, Opti-2 for example, as low as 100:1 but I doubt that is the type of oil you have.
Tom