Is it possible to be Arminian and believe in personal predestination to salvation? (as opposed to corporate election)

It seems to be the teaching of most Arminians that when people are saved, they are added to the body of corporately predestined people, as opposed to the Calvinistic view that people are personally predestined. Arminians would, for example, point to 1 Peter 2:9, where the elect are in the plural : > But you are a chosen people, a royal priesthood, a holy nation, a > people belonging to God, that you may declare the praises of him who > called you out of darkness into his wonderful light. However, others would point out more individualistic passages, like Romans 9:15–16: > For he saith to Moses, I will have mercy on whom I will have mercy, > and I will have compassion on whom I will have compassion. So then it > is not of him that willeth, nor of him that runneth, but of God that > sheweth mercy. **Regardless of whether corporate or individual predestination is correct (or, indeed, whether both be true at once)**, is there an inherent logical or philosophical incompatibility between personal choice (Arminianism) and personal predestination, or are there to the contrary Arminians that hold (what seems to be the generally Calvinistic view) of personal predestination?