I don't believe there is anything preventing you from applying through the UAC to Macquarie University while suspended.
HOWEVER I disagree with InsoulvencyReaper on one key point. Even if you had the required ATAR, because you have completed more than year of study, your GPA/WAM and academic performance is considered instead.
Suspension for a year means you've failed over 50% of your subjects for at least 3 semesters, yes? While you were on probation and conditional enrolment, you still failed half your classes. I'm guessing you probably just scraped through on the others. These will come up on your transcript, and these will effect your application when it comes through UAC.
You may be able to write a personal statement explaining how you struggled with your course because you didn't enjoy it or whatever and have that considered, but honestly, looking through your post history and seeing you've transferred courses before and still haven't improved, I'm not sure it will make much difference.
Personally, take the 1 year suspension to actually figure out your shit. Don't just transfer because things got too hard somewhere else. I know what it's like to not enjoy what i'm studying and to struggle. How are you be so certain that this new course is for you and what you want to study? Failing subjects isn't the end of the world, but not enjoying the content isn't usually the underlying cause.
Go get a job for a year, work hard, get some perspective, and then re-apply to a new university through UAC at the end of that year. You can't just bounce around from degree to degree until you scrape through with a pass eventually. You'll have a HECs debt you won't be able to repay and an awful transcript where nobody wants to employ you.
Get perspective, get experience, get your life together, then re-assess if transferring to another course is the best path for you.