Skin deforms, so it might be doable.
Sometimes my angle is a little steeper and the head isn't perfectly against my face. I notice this with any SE razor, including Bic's. Honestly I think this is due to the influence of the DE razor on my shaving technique.
You're better off learning to use a shallow angle, at least if you are new to this.
After 64 years of shaving like grandpa did, I can tell you that you would be "better-off" to listen to the blade as it cuts -- and, stop talking about this "shallow angle-stuff".