Support both openSSL1.1 and openSSL1.0, is it possible?

I have a qt application which is required to support multiple linux platforms. One of them has openssl1.1.1 installed by default, the others have openssl1.0.2.
I currently use Qt5.12.1 to build my application with openssl1.0.2. If I run my application on the platform that has openssl1.1.1 installed, it'll prompt the error: TLS initialization failed.
Could anybody know how to deal with this?
Is it possible to bundle openssl1.0 to the package? How to do that?
Thanks