Do you mean;
Q.) If the team you play for wants to re-sign you can you still get contracts from other teams to choose instead?
A.) Yes. There will always be at least one offer from another team.
In some cases, depending on your performance and/or amount of games played for a club they may not even offer you a contract extension.
I had a miserable time in Spain after moving from Portsmouth to Mallorca, I didnt get 1 start and they refused to resign me ... however it worked in my favour as I ended up at Deportivo La Corunia but a similar thing happened just 1 goal in 16 appearances and they also refused to resign me. Led me to brighter times tho, after half a season with Reggina in Italy Lazio picked me up and a year later got European Footballer of the Year . 7 Seasons in now ( aged 24 ) a regular for England and Manchester United and still only one orange stat lol.