It can, if you are mature enough and still love the person you fell in love with.
We are much more than our physical selves.
I always wonder if people who don't believe this possible are the ones who'd drop the returing solider disfigured in war or leave the wife who gave them 3 children, because she's no longer a size 6.
People lose limbs, get disfigured in accidents, put on weight ,become frail in illness , suffer from mental illness, and are still loved and continue to love others.
Because, love was much more than physical between them.

I'd not want to part of a romantic relationship without it ..

Survive with te meaning of to last?
Yes, certainly. Somehow like pepople in coma does.
A lot of marriages do it.
Are also loveless relationships

Certainly. Maybe not romantic relationships, but family ties and friendships probably work better without physical attraction.

Can physical attraction survive without a relationship ?

Not a romantic relationship l

Sure. That just depends on how deep you are in your love.

They are called marriages of convenience and once long ago where quite popular.

Not fully

Not a romantic one.. some other type

Not usually.

What type of relationship?

No it can't

If it is a non-physical relationship.

No.