Hi Arpit,
I don't think, I know Image may be NSFW.
Clik here to view. No, you can't apply them anymore for simple reasons.
As you explain you have restored the database of system A on system B (e.g. by using a full backup only or a full backup and some transaction log backups or by using detach attach).
Regardless of which method you have used - as soon as you open the DB it starts its own timeline. You cannot apply transaction log backups from system A anymore once you have opened the restored DB on system B.
Regards,
Beate