Hi!
Relationship includes two or more people working towards the same end goal - of keeping up with the relationship. If even one of them does not have the same goal a relationship cannot survive. So to ans your question - NO a relationship cannot survive if one partner does not make any effort to keep it alive.
If even then the other partner must stay in the relationship for any reason then unfortunately it will not b a fulfilling relationship.
Health Tips
-Decide if it is really important for u to stay in this relationship
-Weigh the pros and cons of staying VS not staying in it.
-If u still cannot leave the relationship then accept that things r going to be like the way they are, unless your partner has a change of heart.