No - you cannot approach Ontario directly for a nomination. You need to ensure you have an Express Entry profile that was set up this year. Provided you have that - there is nothing you can do but wait.
1. EE draws have never been that low. So unlikely you would receive an ITA.
2. So, either finding a PNP program that you might qualify or an employer who is willing to get a LMIA for your, so you can get at least 1 year's skilled work in Canada is about it.