No, You need to have an open would for the saliva to transfer, a bite or a scratch. Less than 1% of bats have rabies/lyssavirus, more people die from toasters than bats. so unless you had an open would which the saliva had contact with, there is no chance that you have contracted anything.

There was a bat flying around my mom's room today around dusk. She asked me to get a bug net and try to catch it. I was cautious because I know it might carry rabies. I tried my best to catch it while it was flying back and forth. At one point it tried hiding under a box on a shelf. Eventually I managed to catch it. I don't think I touched it at all during the process. When I caught it, it bared it's teetch and screeched. I pulled the top of the net up so the bat would move, so my mom could slide a sheet of paper under the net. We let it go and it flew away to a tree. I know it may seem like a stretch but I'm always paranoid. I heard you can get it just by touching the saliva. So if the bat was rabid and got saliva on the net I touched, and I touched my face... It was strange because I've never seen a bat in the house or how it got in is beyond me. It wasn't quiet dusk, so was it out in the day or hiding in my house? I don't know. It might've just been lost and scared. I'm just paranoid.