NO, if you are a green card holder and you marry a F-1 student, you can petition your F-1 spouse but there are no immigration benefits that can be conferred immediately because it is not an immediate relative petition but a preference category petition that is subject to the visa priority date being current.  At this time, it takes about 1.5-2 years for the priority date to become current, unless you are eligible for citizenship earlier and can convert the petition to that of an immediate relative.