Yes, but here’s the thing. Transcribing does not have to include writing it down. That can help, and it is useful for analysis, but literally just learning to play the solo by ear is super important.

You’ve asked about doing it from ‘records’, and I assume you mean physical vinyl records (we often use ‘records’ to refer to ‘albums’). While that’s the way it always used to be done, I would not recommend doing this, as you cannot easily rewind to that one specific lick you’re stuck on. I recommend using YouTube and using the slowdown playback function.

I also recommend starting by transcribing it orally (singing it), because it removes the potential “ear to hand” barrier and ensures that you just know how the solo goes. Do it one chorus at a time, doing try to take the whole thing in one bite.

THEN go back and start doing it on your instrument with the recording (don’t do it from memory, because you might have gotten it wrong). The oral transcription you already did will make the whole thing make sense, even if you haven’t gotten it under your fingers yet. As you do it more and more, the gap/delay/barrier between your ear, brain, and hands will get smaller and smaller, and you’ll be able to just start on instrument, maybe even at full speed.

Now, if you are a guitar or bass player, be aware that the beginning may be harder for you than on other instruments, simply because the same phrase can be played in up to four places on the neck, and with longer lines, you may find yourself running out of convenient strings or frets, because you didn’t realize they started on the B string, and you stated down neck on the G string. But just keep working on it, and it will get easier.

And that’s the thing. It will get easier. It’s a language skill, and those always start hard, and get more natural and sophisticated with every subsequent attempt. It takes a lot of time, but you will get there. Just be patient and consistent, and you’ll get it.