You can surely access your Venmo account on any suitable device of your choice, is the quick answer to this topic. Hence, if you feel that you are ready to go, you can refer to the instructions that I will provide in the part below to follow in order to finish the procedure. But, you would only be able to do this if you still have access to your old device and the phone number you used to set up your account.
http://sites.google.com/walletslog.com/venmologin/home