(No!)
You can’t pour hot grease down a drain for a lot of reasons, and in many states it’s illegal. (Which is why restaurants have grease traps.) It clogs not only YOUR drains, but the public waste water system as well (resulting in money spent having to fix them, as well as damaging water treatment plants).
Not to mention, if you do pour grease down the drain it will collect, solidify, rot, and then STINK your house up. Putting it in a can and then letting it cool is really not a lot of work.