It's not possible with exactly 10 numbers, but possible with less (22 solutions):
0 one 0 three 6 five 1 seven
0 one 1 three 4 five 2 seven
0 one 2 three 2 five 3 seven
0 one 3 three 0 five 4 seven
0 one 4 three 5 five 0 seven
0 one 5 three 3 five 1 seven
0 one 6 three 1 five 2 seven
1 one 0 three 3 five 3 seven
1 one 1 three 1 five 4 seven
1 one 2 three 6 five 0 seven
1 one 3 three 4 five 1 seven
1 one 4 three 2 five 2 seven
1 one 5 three 0 five 3 seven
2 one 0 three 0 five 5 seven
2 one 0 three 7 five 0 seven
2 one 1 three 5 five 1 seven
2 one 2 three 3 five 2 seven
2 one 3 three 1 five 3 seven
3 one 0 three 4 five 2 seven
3 one 1 three 2 five 3 seven
3 one 2 three 0 five 4 seven
4 one 0 three 1 five 4 seven